Integration Rules

Question 1

4.1: The Constant Rule of Integration

Answer 1

Question 2

4.1:

Question 3

4.1: The Constant Multiple Rule of Integration

Answer 3

Question 4

4.1: The Sum and Difference Rules of Integration

Answer 4

Question 5

4.1: The Power Rule of Integration

Answer 5

Question 6

4.1: Integral of Cosine Function

Answer 6

Question 7

4.1: Integral of Sine Function

Answer 7

Question 8

4.1: Integral of Secant Squared Function

Answer 8

Question 9

4.1: Integral of Secant Tangent Function

Answer 9

Question 10

4.1: Integral of Cosecant Squared Function

Answer 10

Question 11

4.1: Integral of Cosecant Cotangent Function

Answer 11

Question 12

4.5: The General Power Rule for Integrals

Answer 12

Question 13

5.2: Log Rule for Integration

Answer 13

Question 14

5.2: Integral of the Tangent Function

Answer 14

Question 15

5.2: Integral of the Secant Function

Answer 15

Question 16

5.2: Integral of the Cosecant Function

Answer 16

Question 17

5.2: Integral of the Cotangent Function

Answer 17

Question 18

5.4: Integral of Exponential Functions

Answer 18

Question 19

5.7: Integrals Involving Inverse Trigonometric Functions

Let u be a differentiable function of x, and let a >0.

Answer 19