Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §7.1 Integration by Parts, #60 · Calculus · Techniques of integration

Compute the areas … and

These problems need more than one integration.

Compute the areas $A = \int_{1}^{e} ln x d x$ and $B = \int_{0}^{1} e^{y} d y$ . Mark them on the rectangle with corners $(0, 0)$ , $(e, 0)$ , $(e, 1)$ , $(0, 1)$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §7.1 Integration by Parts, #60

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