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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §7.1 Integration by Parts, #61 · Calculus · Techniques of integration

These problems need more than one integration.

Find the mistake. I don’t believe $e^{x} cosh x = e^{x} sinh x$ :

$\int e^{x} sinh x d x = e^{x} cosh x - \int e^{x} cosh x d x$

$= e^{x} cosh x - e^{x} sinh x + \int e^{x} sinh x d x$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §7.1 Integration by Parts, #61

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