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## Homework Statement

Evaluate the double integral 4x^3 dA, where R is the region bounded by the graphs of y=(x-1)^2 and y= -x+3.

## Homework Equations

None.

## The Attempt at a Solution

The answer in the book is 72/5. But I got 45 as the answer.

Here's my work:

(x-1)^2= -x+3

x^2-2x+1= -x+3

x=2, -1

y=1, 4.

double integral of 4x^3 dx dy from -1 to 2 for dx and from 1 to 4 for dy

integral of x^4 (evaluate from -1 to 2) dy from 1 to 4 for dy

=45

Is my answer correct or the book's answer is right?