Integration by Substitution

[Oliwia.g]

Hi, I have a problem with one of the questions I got and I don't know what I should substitute or how to go about solving this. The question is telling me to evaluate the following integral using substitution. The integral is in the attached file.
Thanks is advance.

 

[tkhunny]

Well, try something. The point of "substitution" is the derivative sucking up part of the integrand, leading to a simpler expression.

You have sin(x) and cos(x). Does the derivative of either of those lead to anything interesting?

 

[HallsofIvy]

You should know that the derivative of cos(x) is -sin(x).