Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §7.1 Integration by Parts, #62 · Calculus · Techniques of integration

Choose … and … to make the derivative of … equal to…

These problems need more than one integration.

Choose $C$ and $D$ to make the derivative of $C e^{a x} cos b x + D e^{a x} sin b x$ equal to $e^{a x} cos b x$ . Is this easier than integrating $e^{a x} cos b x$ twice by parts?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §7.1 Integration by Parts, #62

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