Evaluate the Integral from pi/4 to pi/2 of cot^5 x csc^3 x dx. Trigonometric Substitution

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thanks for this video! this helped a lot.

a.ricole
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This is a great video, however there is a u^2 that is forgotten in the second slide. The integral should contain (u^4-2u^2-1)^2 * u^2 and then be factored, but the second slide that shows the factored version does not contain any of the u^2. I could be wrong, but this seems to be a prominent and easy to miss mistake

juliarausch