What is Dx: Definition and 306 Discussions

The Nikon DX format is an alternative name used by Nikon corporation for APS-C image sensor format being approximately 24x16 mm. Its dimensions are about 2⁄3 (29 mm vs 43 mm diagonal, approx.) those of the 35mm format. The format was created by Nikon for its digital SLR cameras, many of which are equipped with DX-sized sensors. DX format is very similar in size to sensors from Pentax, Sony and other camera manufacturers. All are referred to as APS-C, including the Canon cameras with a slightly smaller sensor.
Nikon has produced 23 lenses for the DX format, from macro to telephoto lenses. 35mm format lenses can also be used with DX format cameras, with additional advantages: less vignetting, less distortion and often better border sharpness. Disadvantages of 35mm lenses include generally higher weight and incompatible features such as autofocus with some lower-end DX cameras. Nikon has also produced digital SLRs that feature the larger Nikon FX format sensor that is the size of the 135 film format.
In 2013, Nikon introduced a high-end compact camera with a DX-sized sensor, the Nikon Coolpix A, featuring an 18.5 mm lens.

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  1. H

    Question on integral notation (dt, dx, etc.)

    Say the limit of the integral is from 0 to t and the integral is ended with a dt. Is this okay? Generally, all the integrals I see with a variable limit end with a d-letter that is not the same as the variable in the limit. ie: limit is from 0 to t, ends with du
  2. E

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  3. T

    Can I Solve x^4 dx / (x^2+a^2)^(3/2)?

    Is this integral doable at all ? x^4 dx / (x^2+a^2)^(3/2) I have tried several u-substitutions but none of them seem to make the form of the integral any simpler
  4. srfriggen

    Integrating x/(2x+1) dx: Step-by-Step Solution and Tips

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  5. H

    U-substitution - Where does the dx go?

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  6. K

    Why is psi^* psi dx a probability density - Griffiths

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  7. J

    Trying to understand the dx after the integrand

    Every book that I have checked, it says the dx after the integrand is just there to remind us that it is the variable x that is being integrated. I however am trying to see some other meaning. There must be some reason why, when we integrate 2x, it is also multiplied by dx. I have tried real...
  8. A

    How Can I Solve These Complex Integrals?

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  9. A

    Integral: sqrt(4-x^2)*sign(x-1) dx

    Integral: sqrt(4-x^2)*sign(x-1) dx Can someone help me with this integral? I've never worked with a sign funtion before, so I have absolutely no idea how to solve this integral
  10. G

    Find the integral x^3 sqrt(x^2 + x^8 + 8) cos x dx

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  11. M

    Calculating Integral of x^2-2x e^-x dx

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  12. T

    |dx| vs dx in an integral - can someone explain the difference to me?

    Just need to know a definition :/
  13. K

    Problem with int(arctan(B-x/tan(a))/(d-x)) dx

    hi there, i have problems to calculate following integral: int{ arctan [ (B - (x/tan(a)))/(d-x) ]} dx any ideas? thanks for the help
  14. O

    Integrating 1/(4+x^2)^2 dx: How to Use Trigonometric Substitutions

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  15. Q

    Right triangle, describe dx as dθ

    1. Homework Statement This is part of a find the electric field problem. I've narrowed down the part I find confusing. Consider a right triangle, with legs of length x and R. Angle θ is opposite x. Leg x is a segment of a ray starting where lines x and R intersect. There is a differential...
  16. Q

    How can we compute dx in terms of R and θ in this given right triangle?

    Homework Statement This is part of a find the electric field problem. I've narrowed down the part I find confusing. Consider a right triangle, with legs of length x and R. Angle θ is opposite x. Leg x is a segment of a ray starting where lines x and R intersect. There is a differential length...
  17. S

    How do you solve the integral of (sin(x)/x)^2?

    Homework Statement Hi I am working on a solution for the integral the integral \int_{-\infty}^{\infty} (\frac{sin(x)}{x})^2 dx Homework Equations The Attempt at a Solution I know from theory that \int_{-\infty}^{\infty} f(x) dx = \int_{-\infty}^{a} f(x) dx +...
  18. T

    Find the integral of sinx/cos^3x dx

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  19. Д

    Does dx does not make change in front of the integral?

    Does "dx" does not make change in front of the integral? Hello I got one question. I am confused by seeing dx in front of the integral. For ex. \int f(x) dx = F(x) + C where F'\!(x) =\frac {d}{dx} F(x) = f(x). As we know F'(x)=f(x), then why F'(x) = f(x) . dx Isn't supposed...
  20. O

    How to Integrate [1/(x^2 + 1)] dx?

    Hi everyone, Can you tell me how to integrate the following equation? \int\frac{1}{x^2 + 1} \ dx I've tried the substitution method, u = x^2 + 1, du/dx = 2x. But the x variable is still exist. Also, the trigonometry substitution method, but the denominator is not in \sqrt{x^2 + 1}...
  21. S

    Dx dy where R is the unit circle.

    Given the double integral \int\int_R \sqrt{}x^2+y^2 dx dy where R is the unit circle. We are only given the equation for the unit circle but don't we need more equations so I can change the equations to a single variable and then find the Jacobian so how do I find the Jacobian. How do I find a...
  22. F

    Multiplying by dx to Solve ODEs

    When solving an ODE, physicsts sometimes multiply the differential dx. Example df/dx = x/2 df = (x/2)dx f = x^2 + c I've always been told that this mathematically unsound, but I've never been told why. Is it because the necessary constant c may not necessarily be additive? Are...
  23. S

    How to integrate int 1/(4+x^2)^2 dx

    Homework Statement \frac{dx}{(4+x^2)^2}Homework Equations I understand that \frac{dx}{a^2+u^2} = \frac{1}{a} tan -1 \frac{u}{a} + cThe Attempt at a Solution The extra square is throwing me off for some reason. If I let a=2 and u=x it doesn't seem to help because of the whole term being...
  24. A

    Is using u-substitution the right approach for integrating e(x^2 + x)(2x+1) dx?

    Homework Statement integrate: e(x^2 +x)(2x+1) dx The Attempt at a Solution let u= e(x^2 +x) du=e(x^2 +x)(2x+1)dx integral e(x^2 +x)(2x+1) dx = integral 1/u du am I on the right track? i didnt get the same answer as the prof...
  25. C

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  26. M

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    Because of circumstance (my desire to graduate in 5 years or less), I've been forced to attempt Calc 2 in 2 months time online over the summer. About 75% of it is going smoothly (compared with 105% or so of Calc 1). Homework Statement I'm to solve the indefinite integral: \int x *...
  27. D

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  28. J

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  29. D

    What *exactly* does the 'dx' mean in integral notation?

    This isn't really a homework question, but it has been bugging me for ages. In \int f(x) \, dx what exactly does the 'dx' represent? Is it a differential? What is a differential? I only use the 'dx' part to identify the variable that the function is being integrated with respect to... or...
  30. E

    What is the integral of ∫ e^ (x^2 +sinx) dx ?

    What is the integral of ∫ e^ (x^2 +sinx) dx I got the answer e^(x^2+sinx)/(2x+cosx) but I know that is wrong. I don't understand how you treat the + part for an e^() problem.
  31. K

    Which Addressing Mode is this? MOV DX, ES:[BX+6]?

    For 8086 assembly language.
  32. D

    What does 'dx' mean and how does it relate to calculus and physics?

    Hey guys. I've started studying Physics at home, but only the theory side with a little mathematics. So i would like to try, if i can, to introduce a little calculus to my work. But the problem is i find calculus a mind boggle, i understand All the GCSE math that i did. Could someone explain to...
  33. L

    Integration by parts x5(lnx)2 dx

    Homework Statement Integrate the following: (Ill use { as the integration sign) {x5(lnx)2 dx Homework Equations {u dv = uv - {v du I'm really new to integration by parts, and unfortunately I am having to learn it out of a book for now. I sort of get the idea, but this one just doesn't look...
  34. E

    What is the integral of sin(x^2) dx?

    Homework Statement what is the integral of sin(x^2) dx? Homework Equations The Attempt at a Solution
  35. Z

    How can you determine the derivative or integral of dx in a given problem?

    I am in the middle of a problem and I have to take the integral of "dx" This is very confusing, I would guess x or 1 but neither really makes sense to me. How would you take the derivative of something to form dx?, similarly how would you take the derivative of dx^2. Aside from knowing that...
  36. I

    Integration by parts, how to find int 1/(x (ln 3)^2) dx

    Homework Statement int dx / (x (ln 3)^3) can someone tell me how to start this problem what's my u and dv ??
  37. M

    How do you integrate (ln(x))^2? dx

    it seems you can't use the property ln x^n = n ln x. I'm thinking there's integration by parts involved but not sure.
  38. D

    Dx in a function to be intigrated

    Suppose in an integrated function f(x), its a necessity to have dx, why is it that all x in that function is not replaced by dx?...or is it?
  39. F

    What is the integral of sqrt(x^2-1)/x dx?

    Homework Statement What is the integral of sqrt(x^2-1)/x dx? Homework Equations The Attempt at a Solution ∫ √(x^2 - 1) dx / x let x = sec u: u = sec^-1(x) and tan u = √(x^2 - 1) dx = sec u tan u du now the integral becomes ∫ √sec^2(u) - 1) sec u tan u du / sec u =...
  40. G

    Integration of x^2 dx / (1-x)^1/2

    Homework Statement Integrate: x^2 dx / (1-x)^1/2 Homework Equations U substitution The Attempt at a Solution First I defined u = (1-x)^1/2 du = -dx/2(1-x)^1/2 dx = -2(1-x)^1/2 du then for x u^2 = 1-x x = 1-u^2 integral of: (1-u^2)^2/u = (u^4-2u^2+1) / u = u^3-2u+1/u integrating...
  41. J

    Help Solving Integral of sqrt(2 - x^2) dx

    I was absent last friday when we went through it in class, so I'm completely lost when it comes to solving it. If anyone could explain how to do them I'd be extremely greatful. Thanks. Homework Statement It said use the substitution x = a sin theta. Homework Equations I'm not sure...
  42. J

    Integrating sec x dx: Multiply by \frac{tan x + sec x}{tan x + sec x}

    Homework Statement By multiplying the integrand sec x dx by \frac{tan x + sec x}{tan x + sec x} find the integral of sec x dx Homework Equations d/dx sec x = tan x.sec x d/dx tan x = sec^2 x The Attempt at a Solution sec x dx(\frac{tan x + sec x}{tan x + sec x}) => \frac{tan...
  43. L

    Using Stokes Theorem to $\int_{L}^{} y dx + z dy + x dx$

    Homework Statement Use Stokes Theorem to compute \int_{L}^{} y dx + z dy + x dx where L is the circle x2 + y2 + z2 = a2, x + y + z = 0 The Attempt at a Solution I feel like this problem shouldn't be that hard but I can't get the right answer: (pi)a2/3. I calculated the curl of F as...
  44. B

    Solving H.S. Bear's Diff Eq Problem: (1-y^{2}) dx - xy dy = 0

    I am reviewing differential equations, going through H.S. Bear's book Diff Eq: Concise Course. The problem set for the variables separate section were pretty easy and straightforward except for this one, which I can't see how to arrive at the answer given in the book. I'm probably just missing...
  45. N

    What is the Integral of x^{2} e^{-x^2} dx in Signal Processing?

    I ran into an integral while working on response of a signal processing filter, it looks like: \int_{-\infty}^{\infty} x^{2} e^{-x^{2}} dx While trying integration by parts u = x^{2} we get du = 2xdx but can't proceed with dv = e^{-x^{2}} because then v = \int e^{-x^{2}} can't be...
  46. D

    Two functions having the same areas x to dx

    Hi I have been thinking about an idea I have involving calculus that I think someone here can help me with. Is there a way you can determine a simple function (like f(x)=Ax) that has the same area dA from X to dX as another complicated function like f(x)=x^2. If you refer to the two...
  47. F

    Integral of 5sin^(3/2)x*cosx dx

    I'm having trouble with this integral: integral of 5sin^(3/2)x*cosx dx any suggestions? i tried integration by substitution but it didnt work. do i need to do integration by part?? help!
  48. A

    How can I integrate (1/(1-cos x)) dx without using cos x= (1-z^2)/(1+z^2)?

    [SOLVED] Integrate (1/(1-cos x)) dx Homework Statement \int \frac{1}{1-cos x} dx Homework Equations The Attempt at a Solution I found in the book where they used the cos x= \frac{1-z^2}{1+z^2}, but we haven't went over this in class yet. I'm wandering what my other options are...
  49. M

    Evaluating Integral: ∫ (e√x / √x) dx

    If you are told to evaluate the integral and are given this problem: ∫ (e√x / √x) dx This reads that the integral of (e) to the power of square root of x divided by the square root of x multiplied by the derivative of x is…… I have tried solving it and came up with this, is this...
  50. E

    Dy/dx: must dx be the independent variable?

    Hi Ho! If y=\sin x, \frac{dy}{dx}=\frac{d(\sin x)}{dx}=\cos x. If x=\sin y, y=\arcsin x, and therefore \frac{dy}{dx}=\frac{d(\arcsin x)}{dx}=\frac{1}{\sqrt{1-x^2}}. But, if x=\sin y, can \frac{dy}{dx} be done as \frac{dy}{dx}=\frac{dy}{d(\sin y)}=\frac{1}{\frac{d(\sin...
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