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athens / MATH 2420 / Calculus II
Stewart / Ch. 7.1
Integration by Parts
Every differentiation rule has a corresponding integration rule. The rule that corresponds to the Product Rule is called integration by parts.The Product Rule states that if f and g are differentiable functions, then in indefinite-integral notation:integral u dv = uv - integral v du [Formula 2]Letting u = f(x) and v = g(x), then du = f'(x)dx and dv = g'(x)dx.Example 1: Find integral x e^x dx.Solution: using the LIATE guideline, choose u = x and dv = e^x dx.Center / Material
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