For solving the integral cot(10x)csc^4(10x) I know we can solve this by making u = csc(10x) and the derivative -1/10(cot(10x)csc(10x). But I tried to solve the problem by separating csc^4(10x) into csc^2(10x) * csc^2(10x), then turning one of them into (cot^2(10x) +1 ) and letting the other csc^2(10x) act as the derivative for cot^2(10x) (multiplying by (-1/10) ). The answer I got was wrong and, but I think my process was correct. Thank you for the help!

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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For solving the integral cot(10x)csc^4(10x) I know we can solve this by making u = csc(10x) and the derivative -1/10(cot(10x)csc(10x). But I tried to solve the problem by separating csc^4(10x) into csc^2(10x) * csc^2(10x), then turning one of them into (cot^2(10x) +1 ) and letting the other csc^2(10x) act as the derivative for cot^2(10x) (multiplying by (-1/10) ). The answer I got was wrong and, but I think my process was correct. Thank you for the help!

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