5.3 The Fundamental Theorem of Calculus/41

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Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \int \limits _{0}^{\pi }f(x)dx\quad {\text{where}}\;f(x)={\begin{cases}sin(x)&0\leq x<\pi /2\\cos(x)&\pi /2\leq x\leq \pi \end{cases}}}