1. The problem statement, all variables and given/known dataintegral√(9-x²) / (x²)

2. Relevant equations

Just trig substitution

3. The attempt at a solution

Ok, for trig sub I did

u=asinΘ

x=3sinΘ

9-x²=9-9sin²=9(1-sin²Θ)

so putting it into the equation

x²=9sin²Θ

dx=3cosΘ

√9cos²Θ=3cosΘ/x^2

(3cosΘ/9sin²Θ)*(3cosΘ)=9cos²Θ/9sin²Θ= cot²

but the integral of cot is ln(sinU) or it can be -ln(cscu)

I am stuck