Question

What is the antiderivative of `(sinx)^2`?

Answer 1

`f(x)` =`(sinx)^2`
= `sin^2x`
anti derivative is `int` `sin^2x` `dx`
=`int` `(1-cos2x)/2` `dx`
=`int` `1/2dx-(cos2x)/2dx`
=`x/2+c_1`-(`(sin2x)/(2*2)+c_2`)
=`x/2-(sin2x)/4 +c` `(c=c_1-c_2)`
difference between two constants is also a constant