How do i do the anti-derivative?

dx/dy sin(x/2)

1 Answer
Sep 24, 2017

Assuming the question is dy/dx=sin(x/2), the answer is y=-2cos(x/2)

Explanation:

First, work out what trig function it's coming from. Sin differentiates to negative cos, so therefore negative sin differentiates to positive cos.

Next divide by the differential of what's in the bracket.
In the bracket: (x/2) :. derivative of that is just (1/2)

-cos(1/2x) divided by a half = -2cos(x/2) which is your answer.