After looking on the internet for a sample problem like this... I have found I am retarded... Figured out the problem: equated the coefficients wrong! Thank you all for your help! :P
I've tried solving the system of equations but cannot seem to get it not matter how hard I try... can someone please help me solve the system? After that I know how to do the integral.
Evaluate an Integral - No Clue!
Homework Statement
\int x/(1 + sin(x)) dx
Homework Equations
The Attempt at a Solution
I don't know what rules to use or what approach to take! Please help!
Okay... I tried to solve for the constants but I am stuck... I get this equation:
1 = (Ax + B)(x2 - 2*sqrt(2)*x + 4) + (Cx + D)(x2 + 2*sqrt(2)*x + 4)
I can't see how to solve this either by finding an x where the factors are zero or by solving a system of equations... How can I turn this...
Homework Statement
\int dx/(x4 + 16)
Homework Equations
Hint: With a>0, x4 + a2 = (x2 + \sqrt{}2ax + a)(x2 - \sqrt{}2ax + a)
The Attempt at a Solution
I've plugged this into the equation, which leaves me with:
\int dx/[(x2 + \sqrt{}2ax + a)(x2 - \sqrt{}2ax + a)]
But now I...
Homework Statement
The base of a solid is the region between the parabolas x = y2 and x = 3 - 2y2. Find the volume of the solid given that the cross sections perpendicular to the x-axis are:
a) rectangles of height h
b) equilateral triangles
c) isosceles right triangles, hypotenuse on the...
Oh. So I just differentiate the actual function? That sounds a lot easier. To clarify: when sin x is a limit, I plug in sin x into f and then differentiate the function, then multiply all of that by cos x? And in (e) do we treat the x's in the function as a constant?