11.

A. 7/6

B. 5/4

C. 4/3

D. 7/2

E. 15/4

 

Solution: The answer is A

 

The above double integral says to integrate with respect to y, going from 0 to 1, the result of the integral of (x + y)2 with respect to x, going from 0 to 1.

To integrate the above double integral, first integrate the argument, (x + y)2, with respect to x, where x goes from 0 to 1, and then integrate the result with respect to y, where y goes from 0 to 1.