Page 28 - Integration Problems

Example 6:

Perform the integration

1

∫
√25 − 4 2
−2

Express the integral as,

1

∫
2
√5 − 4 2
−2
1
1
= ∫
2 5 2
−2 √ ( ) − 2
2

Using the well known result,

5
∫ = sin −1 ( ) , =
2
√ − 2 2
The integral becomes,

1
1 1 2 1
= ∫ = [sin −1 ( )]
2 5 2 2 5 −2
−2 √ ( ) − 2
2

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