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## Homework Statement

∫ (2/√x

^{3}+ 3√x) dx

## Homework Equations

X

^{n}dx = x

^{n+1}/n+1 +C

## The Attempt at a Solution

∫(2/(x

^{3})^

^{1/2}+ 3x

^{1/2}) dx

∫(2/x

^{3/2}+ 3x

^{1/2}) dx

∫(2x

^{-3/2}+ 3x

^{1/2}) dx

= 2x

^{-1/2}/-1/2 + 3x

^{3/2}/(3/2) +C

= -4x

^{-1/2}+ 2x

^{3/2}+C

**= -4/x**

^{1/2}+ 2x^{3/2}+CCan you please confirm the above answer as I have no answers to compare and am not 100% sure on this one?

Thank you for any help in advance