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Integrate :-
[tex]:\implies \: \boxed{ \displaystyle \int \sf{ \frac{1}{sin {}^{2} \bigg(\dfrac{x - 2}{3} \bigg) } \: dx }} \: \red\bigstar[/tex]
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Respuesta :

LammettHash

Recall that

[tex]\dfrac{d}{dx}\left[\cot(x)\right] = -\csc^2(x)[/tex]

so that

[tex]\displaystyle \int \frac{dx}{\sin^2\left(\frac{x-2}3\right)} = \int \csc^2\left(\frac{x-2}3\right) \, dx = \boxed{-3 \cot\left(\frac{x-2}3\right) + C}[/tex]

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