Answer
$\frac{13}{5}$
Work Step by Step
$x^4=2-|x|$
$x=-1$, $x=1$
$\int_{-1}^1|x^4-2+|x||=$
$\int_{-1}^02+x-x^4dx+\int_0^12-x-x^4dx=\frac{13}{5}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.