Limits of integration on double integrals

Note that $x=y^4$ and $x=1$ intersect at $ (x,y)=(1,\pm1)$. which define the limits for the integration region in the $xy$- plane. Thus, the volume integral is

$$\int_{-1}^1 \int_{y^4}^1 (4-2y)dxdy =\frac{32}5$$

Tags:

Integration

Multivariable Calculus

Definite Integrals

Multiple Integral

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