Mathematics - Indefinite Integration Question with Solution | TestHub

Differentiation gives $fI=f\cos x-\cos x$ with $f(0)=0$. Solving yields $f(x)=1-e^{\sin x}$. Its range is $\left[1-e,1-e^{-1}\right]$, containing exactly $-1,0$. Thus $N=2$ and $3N/4=1.50$.