Page 19 - Integration Problems
P. 19
Example 4:
Perform the following integration,
2
∫ 2
1 4 − 12 + 5
Again whenever you see an integral with a quadratic
expression in the denominator then you need to
express it in terms of sum of the squares. First take the
4 outside the integral.
2 1 2
∫ 2 = ∫
2
1 4 − 12 + 5 4 1 − 3 + 5
4
Let,
5
2
2
2
− 3 + = ( + ) +
4
Expand the right hand side,
5
2
2
2
2
− 3 + = + 2 + +
4
Equate coefficients,
−3 = 2
15
