Question
Solve the integral: (1-x^2)^(3/2)/x^2
This is what I have so far. I used trig substitution.
x=sin theta
dx=cos theta dtheta
[1-(sin^2 theta)^(3/2)]*[cos theta dtheta]/(sin^2 theta)
[(cos^3 theta)]*[cos theta dtheta]/(sin^2 theta)
(cos^4 theta)/(sin^2 theta)
This is what I have so far. I used trig substitution.
x=sin theta
dx=cos theta dtheta
[1-(sin^2 theta)^(3/2)]*[cos theta dtheta]/(sin^2 theta)
[(cos^3 theta)]*[cos theta dtheta]/(sin^2 theta)
(cos^4 theta)/(sin^2 theta)
Answers
so far so good
cos^4θ/sin^2θ = (1-2sin^2θ+sin^4θ)/sin^2θ
= csc^2θ - 2 + sin^2θ
= csc^2θ - 2 + (1-cos2θ)/2
all of those are simple to integrate.
cos^4θ/sin^2θ = (1-2sin^2θ+sin^4θ)/sin^2θ
= csc^2θ - 2 + sin^2θ
= csc^2θ - 2 + (1-cos2θ)/2
all of those are simple to integrate.
Steve thx for answering at that time
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