Integral of (32/((x^2)(sqrt(16-(x^2)))))dx

[RUStudent]

Problem Statment:
Int (32/((x^2)(sqrt(16-(x^2)))))dx

Problem Attempt:
a = 4 x = 4sin(w) w = theta
dx = 4cos(w)

Worked the problem down to:
2*int(1/(sin^2(w)))dw

 

[tiny-tim]

Problem Statment:
Int (32/((x^2)(sqrt(16-(x^2)))))dx

Problem Attempt:
a = 4 x = 4sin(w) w = theta
dx = 4cos(w)

Worked the problem down to:
2*int(1/(sin^2(w)))dw

Hi RUStudent!

(have an integral: ∫ and a square-root: √ and a squared: ² )

erm … how about 1/sin²w = cosec²w?