Integration by Parts Exam Solutions

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How to answer questions on integration by parts?

A-Level Maths Edexcel C4 June 2008 Q2a
This question is on integration by part.
(a) Use integration by parts to find ∫xe^xdx.

A-Level Maths Edexcel C4 June 2008 Q2b
This question is on integration by parts.
(b) Hence find ∫x²2e^xdx.

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Integration (8) - Integration By Parts (C4 Maths A-Level)
How to integrate functions by using integration by parts (reverse product rule)?
Examples:
1. Find ∫x cos x dx.
2. Find ∫x² ln x dx.
3. Find ∫x² e^x dx.
4. Find ∫ ln x dx.

Integration by Parts
Examples:
1. Find ∫x² cos 2x dx.
2. Find ∫x e^3x dx.
3. Find ∫x ln x dx.
4. Find ∫e^3x sin 3x dx.

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