∫ 0 π f ( x ) d x Where f ( x ) = { 1 − 1 ≤ x < 0 1 2 x = 0 1 − x 2 otherwise {\displaystyle \int \limits _{0}^{\pi }f(x)dx{\text{Where}}f(x)={\begin{cases}1&-1\leq x<0\\{\frac {1}{2}}&x=0\\1-x^{2}&{\text{otherwise}}\end{cases}}}