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hoe to integrate byparts

hoe to integrate byparts

Grade:12

1 Answers

Amit Askiitiansexpert
112 Points
12 years ago

Hi,

In calculus, and more generally in mathematical analysis, integration by parts is a rule that transforms the integral of products of functions into other (ideally simpler) integrals. The rule arises from the product rule of differentiation.


If u = f(x), v = g(x), and the differentials du = f'(x) dx and dv = g'(x) dx, then the product rule in its simplest form is:

        ∫ u (dv/dx) dx = uv - ∫v (du/dx) dx

 

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