Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §14.2 Change to Better Coordinates, #2 · Multivariable Calculus · Change of variables

Find limits on … to yield the area of …, and integrate

R is a pie-shaped wedge: $0 ⩽ r ⩽ 1$ and $π /4 ⩽ θ ⩽ 3 π /4$ .

Find limits on $\iint d y d x$ to yield the area of $R$ , and integrate.
Extra credit: Find limits on $\iint d x d y$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §14.2 Change to Better Coordinates, #2

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