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Integration by parts

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See the attached file.

Solve the integrals of the functions:

x^2 * exp (2x)

t^2 * sin(t)

x ln(x)

exp(3z) * cos(3z)

ln(x) / x^2

t * [ln(t)]^2

x^3 * sqrt (1-x^2)

sin[ln(t)]

ln(1+x^2)

x^2 * cos (4x).

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The attached files contain a detailed solution which shows in a step by step manner how to use integration by parts to solve integrals.

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