Question

Evaluate the following integral by making the given substitution: ∫cos(2x)dx, u=2x

Answer 1

So since you're substituting u for 2x, you can simplify your integral to be ∫cos(u)dx to make it more managable...now to get rid of dx, you want to find the derivative of "u=2x" to make th variables the same. So du/dx=2dx...and substitute that into "dx" to get (1/2)∫cos(u)du

Answer 2

Then take the integral of cosine like you would normally

Answer 3

Thank you!