I have this integral:
I used the identity that sinxcosx = 0.5sin(2x)
yet when I integrate (0.5sin(2ax)) it doesnt come out as the same answer as the original integral - at least not according to wolfram alpha's equality check-
Can anyone explain this?
EDIT - a is just a constant
When you integrate two equal expressions, you might get two different results, but they all have to vary by a constant. An example would be cos(x)^2 and -sin(x)^2. Don't forget to account for the constant of integration.