[Step-by-Step] Evaluate the following integrals. ∫ x^3 cos (x^4+π) d x ∫ (e^-x)/((1+e^-x))^3 d x ∫_1^2 x √x-1 d x ∫_0^π / 3 (sin


Question: Evaluate the following integrals.

  1. \(\int x^{3} \cos \left(x^{4}+\pi\right) d x\)
  2. \(\int \frac{e^{-x}}{\left(1+e^{-x}\right)^{3}} d x\)
  3. \(\int_{1}^{2} x \sqrt{x-1} d x\)
  4. \(\int_{0}^{\pi / 3} \frac{\sin \theta}{\cos ^{2} \theta} d \theta\)

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