#### Questions

If u and v are two functions of x then prove that

`intuvdx=uintvdx-int[du/dxintvdx]dx`

If u and v are two functions of x then prove that

`intuvdx=uintvdx-int[du/dxintvdx]dx`

Hence evaluate, `int xe^xdx`

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#### Solution

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Solution for question: If u and v are two functions of x then prove that ∫uvdx=u∫vdx−∫[du/dx∫vdx]dx concept: Methods of Integration - Integration by Parts. For the courses HSC Arts, HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General)