what do i do here?
S 1/2sin^2(x) dx
the S is meant to be the integrate zigzag thing so its integrate 1/2sin^2(x) dx? i am lost. i calculated the answer to be 1/2tan(x) using software but i don't get why so can someone talk me through a step by step?
but it is 1 / (2sin^2(x)) so what do i get?
1 / 2((1 - cos2x)/2)
cancels to 1/1 - cos2x). i dont still know what to do when you integrate something in the bottom unless its exact derivative on top then you use logs but if it isn't... :s
is it a substitution?
thanks so far
Take a factor of 1/2 out the integral then continue as topsquark did above
You also have the option of using the double angle identity and a sub as per posts 2 and 4
edit: corrected "sec" to "csc"
Funny how that 1/2sin^2(x) is and 1/(2sin^2(x)) is . These are obviously not the same. Speaking of obvious
I expected you to be able to recognize that I factored the 2 out and worked on the meat of the problem. Evidently I expected too much from you.
-Dan