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Example 21

Evaluate

Solution :



Example 22

Evaluate

Solution :

Example 23

Integrate w.r. to x, cos 2x sin 4x

Solution :

Using cos A sin B = ˝ [ sin (A+B) - sin (A-B) ]

i.e. cos 2x sin 4x = ˝ [ sin (2x + 4x ) - sin ( 2x - 4x ) ]

= ˝ [ sin 6x - sin (-2x) ]

= ˝ [ sin 6 x + sin 2x ]

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Index

6.1 Anti-derivatives (indefinite Integral)
6.2 Integration Of Some Trignometric Functions
6.3 Methods Of Integration
6.4 Substitution And Change Of Variables
6.5 Some Standard Substitutions
6.6 Integration By Parts
6.7 Integration By Partial Fractions

Chapter 7





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