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AP Calculus AB/BC
Unit 6 – Integration and Accumulation of Change
Topic 6.11
Integration by parts can be used to evaluate integrals when the integrand is a product of two functions. Which of the following formulas represents integration by parts?
$\int_a^b f(x)g'(x), dx = \left. (f(x)g(x))\right|_a^b + \int_a^b f'(x)g(x), dx$
$\int_a^b f(x)g'(x), dx = \left. (f(x)g(x))\right|_a^b \cdot \int_a^b f'(x)g(x), dx$
$\int_a^b f(x)g(x), dx = \int_a^b f'(x)g'(x), dx$
$\int_a^b f(x)g'(x), dx = \left. (f(x)g(x))\right|_a^b - \int_a^b f'(x)g(x), dx$
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AP Calculus AB/BC - 6.11 Integrating Using Integration by Parts
Key terms
Integration by Parts
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