- #1
core1985
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Member warned about posting without the homework template
BvU said:What is the question ? and what is the relationship between your first line and the second ?
For the latter expression, if you mean ##\frac{1 - \cos^2(x)}2##, use parentheses around the terms in the numerator. What you wrote means ##1 - \frac{\cos(2x)}2##. In any case, ##\sin^2(kx) \ne \frac{1 - \cos(2x)}{2}##. You have to consider that k mulitplier.core1985 said:yes yes it is sin^2(kx) we can use 1-cos2(x)/2 formula here
IF the function is even (##\ f(x) = f(-x)\ ##) then yes.core1985 said:so if I use number 6 then can I change limits to 0 to infinity multiplied by 2 then It can be applied ?
You can give it a try...core1985 said:one thing more can I change sin(kx) into exponentionals and then try to solve will it work or not??
Yes you cancore1985 said:but cos(kx) is even ?? so I can use this to solve this nasty integral
That would be the idea. But it doesn't look clean and quick to me, such a complex exponential...core1985 said:what do you suggest now changing sin to exponential using euler formula or use this
An integral is a mathematical concept that represents the accumulation of a quantity over a certain interval or area. It is the reverse process of differentiation and is used to calculate the total value of a function.
You may need a hint for solving an integral if you are stuck on a particular step or if the integral involves complex functions or techniques that you are not familiar with.
You can find hints for solving integrals in online resources, textbooks, or by consulting with a math tutor or professor. You can also try breaking down the integral into smaller parts and solving each part individually.
Hints can provide guidance and clarity on the steps needed to solve an integral. They can also offer alternative approaches or techniques to solving a difficult integral.
No, hints are not always necessary for solving integrals. Some integrals can be solved easily without the need for hints, especially if you are familiar with the techniques and methods involved.