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Mathematics 13 Online
OpenStudy (diamondboy):

Question......

OpenStudy (diamondboy):

\[\int\limits_{}^{} \frac{Cosx }{ Sin ^{2}x }\]

OpenStudy (diamondboy):

I got -1/sinx +C

OpenStudy (diamondboy):

@misty1212

OpenStudy (diamondboy):

@kohai

OpenStudy (diamondboy):

@freckles

OpenStudy (diamondboy):

find the antiderivative

OpenStudy (freckles):

a sub for sin(x) will do the trick let me check your solution.,.. \[\int\limits_{}^{}\frac{du}{u^2}= \int\limits u^{-2} du=\frac{u^{-1}}{-1}+C\] looks great

OpenStudy (freckles):

you can also check your answer by differentiating your answer

OpenStudy (freckles):

\[[-(\sin(x))^{-1}]' \\=-(-1)(\sin(x))^{-1-1} \cdot \cos(x) \\ =(\sin(x))^{-2} \cos(x) =\frac{\cos(x)}{\sin^2(x)}\]

OpenStudy (diamondboy):

ok

OpenStudy (diamondboy):

thank you very much

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