- #1
Sheneron
- 360
- 0
Homework Statement
[tex]\int \frac{\sqrt{9-x^2}}{x} dx [/tex]
So:
[tex]x = 3Sin(\Theta)[/tex]
[tex]dx = 3Cos(\Theta)d\Theta[/tex]
Rewritten:
[tex]\int \frac{\sqrt{9 - (3Sin(\Theta))^2}*3Cos(\Theta)d\Theta}{3Sin(\Theta)}[/tex]
[tex]\int \frac{\sqrt{9(1-Sin(\Theta)^2)}*3Cos(\Theta)d\Theta}{3Sin(\Theta)}[/tex]
[tex]\int \frac{3Cos(\Theta)^2}{Sin(\Theta)}[/tex]
When I check this with mathematica (replacing sin and cos with something in terms of x) it doesn't match. Its a different answer.