∫ cos^3 θ sin^-2 θ dθ
= ∫ cos^3 θ / sin^2 θ dθ
= ∫ (1 - sin^2 θ) * cosθ / sin^2 θ dθ
= ∫ cotθ cosecθ dθ - ∫ cosθ dθ
= - cosecθ - sinθ + c
Rewrite cos^3(θ) as:
cos^2(θ) * cos(θ)
= (1 - sin^2(θ))cos(θ)
and make a substitution of u = sin(θ). Hope that helps!
Hrmmmm. *rubs fake plastic beard* Looks like some **** I don't know how to do.
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∫ cos^3 θ sin^-2 θ dθ
= ∫ cos^3 θ / sin^2 θ dθ
= ∫ (1 - sin^2 θ) * cosθ / sin^2 θ dθ
= ∫ cotθ cosecθ dθ - ∫ cosθ dθ
= - cosecθ - sinθ + c
Rewrite cos^3(θ) as:
cos^2(θ) * cos(θ)
= (1 - sin^2(θ))cos(θ)
and make a substitution of u = sin(θ). Hope that helps!
Hrmmmm. *rubs fake plastic beard* Looks like some **** I don't know how to do.