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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^{x}dx.

**A-Level Maths Edexcel C4 June 2008 Q2b**

This question is on integration by parts.

(b) Hence find ∫x^{2}2e^{x}dx.

**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 ∫x^{2} ln x dx.

3. Find ∫x^{2} e^{x} dx.

4. Find ∫ ln x dx.

**Integration by Parts**

Examples:

1. Find ∫x^{2} cos 2x dx.

2. Find ∫x e^{3x} dx.

3. Find ∫x ln x dx.

4. Find ∫e^{3x} sin 3x dx.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for A Level Maths

Math Worksheets

Examples, videos, solutions, activities and worksheets that are suitable for A Level Maths.

How to answer questions on integration by parts?

This question is on integration by part.

(a) Use integration by parts to find ∫xe

This question is on integration by parts.

(b) Hence find ∫x

How to integrate functions by using integration by parts (reverse product rule)?

Examples:

1. Find ∫x cos x dx.

2. Find ∫x

3. Find ∫x

4. Find ∫ ln x dx.

Examples:

1. Find ∫x

2. Find ∫x e

3. Find ∫x ln x dx.

4. Find ∫e

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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