Integrating The Fifth Power Of Absolute Value

Calculus Level 2

$\large \int |x|^5 \, dx = \, ?$

Notations :

$| \cdot |$ denotes the absolute value function.
$C$ denotes the arbitrary constant of integration .

\frac{x^6}{6} + C

None of these choices

-\frac{x^6}{6} + C

1 solution

Kay Xspre
Feb 11, 2016

Split function into two half, positive and negative, and the integral will be $\frac{1}{6}x^6+c$ for positive value, and $-\frac{1}{6}x^6+c$ for negative value (both includes zero)

Integrating The Fifth Power Of Absolute Value

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