(Solution Library) Evaluate the following integrals. ∫(e^x- csc x cot x+(x^7-π)/(x)) d x ∫_0^1(8 x^7-3 √x+7) d x ∫_-π^π f(x) d x


Question: Evaluate the following integrals.

  1. \(\int\left(e^{x}-\csc x \cot x+\frac{x^{7}-\pi}{x}\right) d x\)
  2. \(\int_{0}^{1}\left(8 x^{7}-3 \sqrt{x}+7\right) d x\)
  3. \(\int_{-\pi}^{\pi} f(x) d x \quad\) where \(f(x)= \begin{cases}x & \text { if }-\pi \leq x \leq 0 \\ \sin x & \text { if } 0

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