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In Exercises 29–34, sketch the region determined by the limits of the iterated integrals and then give another iterated integral (or a sum of iterated integrals if necessary) using the opposite order of integration

08y32f(x,y)dxdy

Short Answer

Expert verified

The sketch of the region:

The order of integral is changed as:

020x3f(x,y)dydx

Step by step solution

01

Step 1. Given information

Integral:

08y32f(x,y)dxdy

02

Step 2. Sketch the region

In the given region we can see that

y3x20y8

The sketch of the region is:

03

Step 3. Change order of integral

In the above graph we can see that 0yx3then 0x2

so the order of integral is changed as:

020x3f(x,y)dydx

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