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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)
[tex]\displaystyle\int{(x+3)^\frac{5}{2}}\,dx=\boxed{\dfrac{2}{7}(x+3)^\frac{7}{2}+C}[/tex]
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2)
[tex]\displaystyle\int{(x+5)^{-\frac{1}{2}}}\,dx=\boxed{2(x+5)^\frac{1}{2}+C}[/tex]
