Скачать или смотреть Reduction Formula for Integral of ∫csc^n(x)dx

In this video, we derive a formula for the integration of the powers of cosecant of x [csc(x)].

Our approach is to write the integrand csc^n(x) as csc^(n-2)(x)*csc^2(x), and now we have a multiple of 2 parts, and therefore we can use integration by parts to derive the reduction formula with.

u = csc^(n-2)(x)

and

dv/dx = csc^2(x)

Then we apply integration by parts and work our way to the solution.

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