[See Steps] Evaluate the following integrals: ∫(x^3+√x) d x ∫ fracx^4-2 x^3+1x^2 d x ∫(x^4-1) x^2 d x ∫_0^4 √x d x ∫_0^3


Question: Evaluate the following integrals:

  1. \(\int\left(x^{3}+\sqrt{x}\right) d x\)
  2. \(\int \frac{x^{4}-2 x^{3}+1}{x^{2}} d x\)
  3. \(\int\left(x^{4}-1\right) x^{2} d x\)
  4. \(\int_{0}^{4} \sqrt{x} d x\)
  5. \(\int_{0}^{3} \frac{x+2}{x^{2}+4 x+1} d x\)
  6. \(\int x^{2}\left(x^{3}+5\right)^{2} d x\)
  7. \(\int\limits_{0}^{5}{{{e}^{-3x}}dx}\)

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