- #1

neshepard

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∫√(4-x^2)/x dx

2. Homework Equations

3. The Attempt at a Solution

a^2=4 u^2=x^2 ⇒ u=asinθ

a=2 u=x

x=2sinθ sinθ

2cosθ=√(4-x^2)

dx=2cosθ dθ

∫√(4-4sin^2θ)/2sinθ 2cosθ dθ

∫2cos^2θ/2sinθ 2cosθ dθ

2∫cos^2θ/sinθ cosθ dθ

Now what? I have been working on this problem for the last 3 3 hours and I am at a stand still. Can somebody Please get me to the answer?