Mathematics - Definite Integration Question with Solution | TestHub

Let $f(x)$ be an increasing function such that $f^{\prime \prime }(x)>0$ for all $x\in \mathbb{R}$. Given $f(0)=0$ and $f(1)=1$. If ${\int }_0^1{f}^{-1}(x)dx=k$, then the area bounded by $f(x)$ and $f^{-1}(x)$ can be expressed.