integration of csc^2(9x)dx

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03-04-2022
Mathematics

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integration of csc^2(9x)dx

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loneguy loneguy · Answer 1 · 2022-04-03T07:16:49-04:00

loneguy loneguy

03-04-2022

[tex]\displaystyle \int csc^2(9x) dx \\\\=\dfrac 19\displaystyle \int \csc^2 u ~du~~~~~~~;\left[\text{Let}~u= 9x \implies dx = \dfrac{du}9\right]\\\\=-\dfrac 19 \cot u + C\\\\=-\dfrac 19 \cot(9x)+C[/tex]

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