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Let C be a constant. Consider f(x)=\left\{\begin{array}{ll} -x^{2}, & x \leq 0 \\ \sin x+C, & x>0 \end{array}\right. \text { Compute } \int_{-1}^{\pi} f(x) d x \frac{7}{3} \frac{5}{3}+C \pi -\frac{5}{3}+C
\pi \frac{5}{3} \frac{7}{3}+C \pi
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