A-Level Maths | Integration

• ∫ e^kx = (1/k) e^kx + c
• ∫ sin(kx) = (-1/k) cos(kx) + c
• ∫ cos(kx) = (1/k) sin(kx) + c
• ∫ 1/(kx+c) = (1/k) ln(kx+c) + c

Formula book

Integrating Trig Functions

Question 1

Integrating Exponential and Logarithmic Functions

Question 2

Question 3

Reverse Chain Rule

Question 4

Integration by Substitution (1 step)

Question 5

Integration by Substitution (2 steps)

Question 6

Integration by Substitution (Limits)

Question 7

Integrating with Partial Fractions

Question 8

Integration by Parts

Question 9

• ∫uv' = uv - ∫vu'
• LATE (logarithmic, algebraeic, trigonometric, exponential functions)
• whatever comes first is u
• whatever comes last is v'

Using Integration by Parts Twice

Question 10

Integration by Parts with Logarithms

Question 11

Integration by Trigonometric Identities

Question 12

All Integration Methods