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Jan18-08, 09:36 PM
P: 62
1. The problem statement, all variables and given/known data

Evaluate the integral

[tex]\int x^2 \cos mx dx[/tex]

2. Relevant equations

Evaluating the integral, correct?

3. The attempt at a solution

[tex]u = x^2[/tex]
[tex]du = 2x[/tex]
[tex]dv = \cos mx[/tex]
[tex]v= \frac {\sin mx }{m}[/tex]

(x^2)(sin mx / m) - [integral] (sin mx / m)(2x)

(x^2)(sin mx / m) - 2 [integral] (sin mx / m) (x)

[My final answer:] (x^2)(sin mx / m) + 2 (cos mx / m) + c
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