1 8 1 Integration by Parts Recall the Product Rule for Derivatives use u v du and dv d uv Integrate both sides and solve for Therefore u dv u dv This formula is the key to Integration by Parts The key is to choose what part of the integral is to be u and what part is to be dv Examples x2 e 3x dx 1 Use integration by parts to evaluate 0 1 x3 dx x2 1 ln x dx x3 2 eax cos bx dx 3
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