(All Steps) Evaluate the following integral: ∫(x+x^2+(1)/(π x^2)) d x ∫(√x-(1)/(x √x)) d x ∫ cos (2 θ) d x ∫(e^t+e^3) d


Question: Evaluate the following integral:

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

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