Integration Techniques Worksheet

Solutions

Calculate the integrals for the following:

1 Integration Techniques

2 Integration Techniques

3 Integration Techniques

4 Integration Techniques

5 Integration Techniques

6 Integration Techniques

7 Integration Techniques

8 Integration Techniques

9 Integration Techniques

10 Integration Techniques

11 Integration Techniques

12 Integration Techniques


1

Integration Techniques

Differentiate

integrar

Integral Solution


2

Integration Techniques

Differentiate

Integration

Integration Techniques

Differentiate

Integration

Integration Techniques

Integral Solution


3

Integration Techniques

Differentiate

Integration

Integration Techniques

Integral Solution


4

Integration Techniques

Differentiate

Integration

Integration Techniques

Differentiate

Integration

Integration Techniques

Integration Techniques

Integration Techniques

Integral Solution


5

Integration Techniques

Integration Techniques

Integration Techniques

Integration Techniques

Integration Techniques

Integration Techniques

Integration Techniques

Integration Operations

Integral Solution


Another way of finding the coefficients is performing the operations and equating coefficients.

Integration Operations

Equating coefficients:

Integral Solution


6

Integration Techniques

Integration Operations

Integration Operations

Integration Operations

To calculate the values of A, B and C, insert the values of x that annul the denominator.

Integration Operations

Integration Operations

Integration Operations

Integration Operations

Integral Solution


7

Integration Techniques

Change of Variable

Integration Operations

Integration Operations

Integration Operations

integral

Integral Solution


8

Integration Techniques

cambio de variable

Change of Variable

Change of Variable

Integration Operations

Integration Operations

Integration Operations

Integration Operations

Integration Operations

Integral Solution


9

Integration Techniques

Integration Operations

Integration Operations

Integral Solution


10

Integration Techniques

Change of Variable

Integration Operations

sustitución

solución


11

Integration Techniques

Change of Variable

Integration Operations

Integration Operations

Integral Solution


12

Integration Techniques

Change of Variable

Change of Variable

Integration Operations

Integration Operations

Integration Operations

Integration Operations

Integration Operations

Integration Operations

Integral Solution