(Solved): Consider the following graph of odd function \( h(x) \) : Compute the value of \( \int_{-1}^{1} h( ...

Consider the following graph of odd function \( h(x) \) : Compute the value of \( \int_{-1}^{1} h(x) d x \). \[ \begin{array}{l} -\pi \\ -1 \\ 0 \\ 1 \end{array} \] \[ \begin{array}{l} \text { Compute } f^{\prime}(x) \text { if } f(x)=\int_{0}^{x^{3}+1} \sin (\pi t) d t \text {. } \\ \qquad \begin{array}{l} 3 x^{2} \sin \left(\pi x^{3}+\pi\right) \\ \left(x^{3}+1\right) \sin \left(\pi x^{3}+\pi\right) \\ 3 x^{2} \cos \left(\pi x^{3}+\pi\right) \\ \left(x^{3}+1\right) \cos \left(\pi x^{3}+\pi\right) \end{array} \end{array} \]