Denebel
How do I integrate this?



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Denebel
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dw:1326787674889:dw

Denebel
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I tried using u=x? What should u be? dw:1326787713147:dw

imperialist
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Hint: what do you get when you take the derivative of \[\cot x = \frac{\cos x}{\sin x}\]

Denebel
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Derivative of cot x? =(arccsc x)^2

imperialist
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Not arccsc, but rather \[\csc^2 x = \frac{1}{\sin^2x}\]

DHASHNI
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dw:1326788429512:dw

DHASHNI
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dw:1326788552348:dw

Denebel
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Oh yes, my bad. So.. dw:1326788533509:dw ?

Denebel
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Where did the neg. come from?

imperialist
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\[\int \frac{3 dx}{\sin^2x}=3\int \csc^2xdx = 3(\cot x)+C=3\cot x + C\]

DHASHNI
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if we integrate cosec^2 x =>cot x

Denebel
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Thanks!