[DTube] Reduction Formula for Integral of ∫csc^n(x)dx

in #steemstem5 years ago (edited)


I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain.

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

Please watch the video for the full tutorial.

Thanks for watching. Please give me a "thumbs up" if you have found this video helpful.

Please ask me a maths question by commenting below and I will try to help you in future videos.


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thank you for sharing these videos on dtube. I for one am happy to see a different kind of content for a change. I will be doing something similar with my excel and power bi content, but I first want to organised myself with an ifps backup so the videos dont get lost. great stuff, thanks again

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