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# Solution - If u and v are two functions of x then prove that ∫uvdx=u∫vdx−∫[du/dx∫vdx]dx - Methods of Integration - Integration by Parts

#### 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

#### Solution

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#### APPEARS IN

2016-2017 (July)
Question 6.1.2 | 3 marks
2012-2013 (March)
Question 6.1.1 | 3 marks
2015-2016 (July)
Question 6.2.2 | 4 marks
2016-2017 (March)
Question 5.1.2 | 3 marks

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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)
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