Question

Solve the question in the attached image.​

Answer 1

9514 1404 393

Answer:

  1) 2/7√((x+3)^7) +C

  2) 2√(x+5) +C

Step-by-step explanation:

The power rule applies.

  ∫u^n du = u^(n+1)/(n+1)

1)

  $\displaystyle\int{(x+3)^\frac{5}{2}}\,dx=\boxed{\dfrac{2}{7}(x+3)^\frac{7}{2}+C}$

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2)

  $\displaystyle\int{(x+5)^{-\frac{1}{2}}}\,dx=\boxed{2(x+5)^\frac{1}{2}+C}$