Question

Integrate the following:-
$\int \sin ^{2} x \csc ^{2} x \: \: dx$
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Answer 1

$\huge \sf \underline{ \underline{\star Answer}}$

$\rightarrow \: \int \sin ^{2} x \csc ^{2} x \: \: dx$

$\rightarrow \: \int \frac{\sin ^{2} x}{ \sin^{2} x} \: \: dx$

$\sf sin²x \ on \ the \ top \ and \ bottom \ is \ cancelled$

$\rightarrow \: \int {x}^{0} \: \: dx$

$\rightarrow \frac{ {x}^{0 + 1} }{0 + 1} + c$

$\rightarrow x + c$

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Answer 2

$→∫sin^{2}x \: csc^{2} x \: dx$

$→∫(sin^{2}x \: \div sin^{2} x) \: dx$

$→∫ x ^{0} \: dx$

$→ \frac{x ^{0 + 1} }{0 + 1} + c$

$→x + c$

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Upper one is correct anyways.. :) $\huge\color{red}♡$