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Single Variable Calculus

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Moderate

Integration with Substitution 2

SVCALC-CRY$@S

Compute the indefinite integral:

$$\int \dfrac{x^5}{\sqrt{x^2+2}}dx$$

A

$\dfrac15 (x^2+2)^\frac52 + \dfrac43(x^2+2)^\frac32 - 4(x^2+2)^\frac12 +C$

B

$\dfrac25 (x^2+2)^\frac52 - \dfrac83(x^2+2)^\frac32 + 8(x^2+2)^\frac12 +C$

C

$\dfrac15 (x^2+2)^\frac52 - \dfrac43(x^2+2)^\frac32 + 4(x^2+2)^\frac12 +C$

D

$\dfrac{1}{10} (x^2+2)^\frac52 - \dfrac{4}{6}(x^2+2)^\frac32 + 2(x^2+2)^\frac12 +C$