# StudySquare

# Edexcel A-level Maths 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 substitution is a method to evaluate integrals by changing the variables. This method can be used when the integral is of the given form.

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.

# 1

Evaluate ∫1/(x + 5)dx.

# 2

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

# 3

Determine the following integral: ∫3x²sin(x³ − 10x) − 10sin(x³ − 10x)dx.

# 4

Evaluate ∫xeˣ.

# 5

Integrate the area of the given rectangle.

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