20 - Parts - Integration by Parts d f(x)g(x = f(x)g x g x f...

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Unformatted text preview: Integration by Parts d ( f (x)g(x)) = f (x)g ( x ) + g ( x ) f ( x ) dx d ( f (x)g(x)) so dx = f (x)g ( x ) + g ( x ) f ( x ) dx = dx f (x)g ( x ) dx + g(x) f ( x ) dx u = f (x), v = g(x), Let du = f (x), dv = g(x) Then d(uv) dx dx = uv = udv + vdu udv = uv - vdu Ex. Evaluate ln x dx Ex. Evaluate et cost dt Ex. Evaluate 0 6 x x cos dx 4 Do: Evaluate x x + 1 dx 2. x ln x dx 1. -1 2 3 ...
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