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Write a value of int(cosx)/(sinxlogsinx)...

Write a value of `int(cosx)/(sinxlogsinx)\ dx`

Text Solution

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Solution:
Given,
`\int(\cos x) /(\sin x \log \sin x) d x`
Let,
`\log (\sin x)=t`
Differentiating both sides with respect to x,
`\frac{d t}{d x}=\frac{\cos x}{\sin x}`
`\Rightarrow d t=\frac{\cos x}{\sin x} d x`
...
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