Question

When converted to an iterated integral, the following double integral is easier to evaluate in one order than the other. Find the best order and evaluate the integral. ?_R 3x sec^2(xy)dA; R = {(x,y): 0 ? x ? ?/3, 0 ? y ? 1} Select the correct answer below and fill in the answer box to complete your choice. A. It is easier to integrate with respect to y first. The value of the double integral is - 3 ln 1/2. (Type an exact answer.) B. It is easier to integrate with respect to x first. The value of the double integral is (Type an exact answer.)

          When converted to an iterated integral, the following double integral is easier to evaluate in one order than the other. Find the best order and evaluate the integral.
?_R 3x sec^2(xy)dA; R = {(x,y): 0 ? x ? ?/3, 0 ? y ? 1}
Select the correct answer below and fill in the answer box to complete your choice.
A. It is easier to integrate with respect to y first. The value of the double integral is - 3 ln 1/2.
(Type an exact answer.)
B. It is easier to integrate with respect to x first. The value of the double integral is
(Type an exact answer.)

When converted to an iterated integral, the following double integral is easier to evaluate in one order than the other. Find the best order and evaluate the integral.
?R 3x sec^2(xy)dA; R = (x,y): 0 ? x ? ?/3, 0 ? y ? 1
Select the correct answer below and fill in the answer box to complete your choice.
A. It is easier to integrate with respect to y first. The value of the double integral is - 3 ln 1/2.
(Type an exact answer.)
B. It is easier to integrate with respect to x first. The value of the double integral is
(Type an exact answer.)

Added by Alison C.

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