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**[sloved]reversing order of integration of double integral qns.**

## Homework Statement

pls refer to attached picture.

## Homework Equations

## The Attempt at a Solution

intially upper and lower limits are , x^2 < y< x^3 and -1<x<1

sketched y=x^2 and y= x^3. => sqrt(y) =x and cube root (y) = x

divide the area into 3 section.

new limits of dxdy

sqrt(y) <x< cube root (y) with 0<y<1 ,

and 0<x< sqrt(y) with 0<y< -1, ( for -ve x and +ve y portion of x^2 graph)

and cube root (y)< x< 0 with -1<y<0 ( for -ve x and -ve y portion of x^3 graph)

but the answer i have shows a different answer. guess i am wrong, but anyone can tell me which part?

attached is a graph i tried to draw( pardon my IT skills=P)

#### Attachments

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