612
Chapter 5 | Integration
Solution Use the formula for the inverse tangent. We have
⌠ ⌡ 3/3 3
3/3 3
= tan −1 x |
dx 1+ x 2
⎡ ⎣ tan −1
⎤ ⎦
⎛ ⎝ 3 3
⎞ ⎠
⎡ ⎣ tan −1
⎤ ⎦ −
⎛ ⎝ 3
⎞ ⎠
=
= π 6
.
Evaluate the definite integral ⌠ ⌡ 0 2
5.44
dx 4+ x 2
.
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