Question

How do i do the anti-derivative?

`dx/dy` sin(x/2)

Answer 1

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.