Solved integral of the form ∫ln(cosαx)/sin^2(αx)dx

Solved integral of the form ln(cosαx)/sin^2(αx)dx

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Solution of an indefinite integral of the form ∫ln(cosαx)/sin^2(αx)dx by the method of integration by parts, where α takes the values 1,2,3,4,5,…n.
An example of solving integrals for α=1, α=2, α=4 is considered.

∫ln(cosαx)/sin^2(αx)dx, ∫ln(cosx)/sin^2(x)dx, ∫ln(cos2x)/sin^2(2x)dx, ∫ln(cos4x)/sin^ 2(4x)dx

The solution is in PDF format

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  • Content type File
  • Content description 58,25 kB
  • Added to the site 09.01.2023

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Solved integral of the form ∫ln(cosαx)/sin^2(αx)dx
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Cumulative discount

20 $ the discount is 10%
18 $ the discount is 9%
16 $ the discount is 8%
14 $ the discount is 7%
12 $ the discount is 6%
10 $ the discount is 5%
8 $ the discount is 4%
6 $ the discount is 3%
4 $ the discount is 2%
2 $ the discount is 1%
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Cumulative discount

20 $ the discount is 10%
18 $ the discount is 9%
16 $ the discount is 8%
14 $ the discount is 7%
12 $ the discount is 6%
10 $ the discount is 5%
8 $ the discount is 4%
6 $ the discount is 3%
4 $ the discount is 2%
2 $ the discount is 1%
Check your discount

Amount of purchases from the seller:  $

Your discount:  %

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