Basic Integration !

PureMathematics I

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Basic Integration

June 2020 PureMathematics I


Page 1

Basic Integration

Page 2

Basic Substitution

Page 3

Trigonometry Substitution

Page 4

How to Integrate

\[ I = \int \sin^3(x) \cos^2(x) \,dx \]
Page 5

Evaluate the indefinite integral:

\[ I = \int \sin^6(x) \cos^3(x) \,dx \]
Page 6

Evaluate the indefinite integral:

\[ I = \int \cos^5(x) \, dx \]
Page 6

Evaluate

\[ I = \int \sin^2(2t) \, dt \]
Page 6

Evaluate the indefinite integral:

\[ I = \int (1 + \cos x)^2 \, dx \]
Page 6

Evaluate

\[ I = \int \sec^2(x) \tan(x) \,dx \]