Question

What is `f(x) = int sec^2x- cosx dx` if `f((5pi)/4) = 0`?

Answer 1

`f(x)=tanx-sinx-(1+sqrt2/2)`

Explanation:

`int(sec^2x-cosx)dx`

`f(x)=tanx-sinx+c`

`f((5pi)/4)=tan((5pi)/4)-sin((5pi)/4)+c=0`

`1-(-sqrt2/2)+c=0`

`c=-(1+sqrt2/2)`

`f(x)=tanx-sinx-(1+sqrt2/2)`