Β 
VIEW IN FULL SCREEN

Edexcel A-level Maths Methods of integration

Methods of integration

This page covers the following topics:

1. Integration by parts
2. Integration by substitution
3. Integrating partial fractions

Integration by parts is a special emthod of integration which is used when two functions are being multiplied. They are defined as u and v accordingly, and the given formula is used to evaluate the interval.

Integration by parts

Integration by substitution is a method to evaluate integrals by changing the variables. This method can be used when the integral is of the given form.

Integration by substitution

When the integrand is in the form of a proper fraction, the integral should be rewritten as partial fractions and then integrated using the given result.

Integrating partial fractions

1

Evaluate ∫1/(x + 5)dx.

Evaluate ∫1/(x + 5)dx.

2

Use integration by parts to find ∫cosx(5 + x)dx.

Use integration by parts to find ∫cosx(5 + x)dx.

3

Determine the following integral: ∫3xΒ²sin(xΒ³ βˆ’ 10x) βˆ’ 10sin(xΒ³ βˆ’ 10x)dx.

Determine the following integral: ∫3xΒ²sin(xΒ³ βˆ’ 10x) βˆ’ 10sin(xΒ³ βˆ’ 10x)dx.

4

Evaluate ∫xeˣ.

Evaluate ∫xeˣ.

5

Integrate the area of the given rectangle.

Integrate the area of the given rectangle.

End of page

Β