What is the integral of cot(x)e^{(ln(sin(x)))} ?

The integral of cot(x)e^{(ln(sin(x)))} is sin(x)+C

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integral of cot(x)e^{(ln(sin(x)))}

\int cot (x) e^{(l n (s i n (x)))} d x

sin (x) + C

Solution steps

\int cot (x) e^{l n (s i n (x))} d x

Simplify

cot (x) e^{l n (s i n (x))} : cos (x)

= \int cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= sin (x)

Add a constant to the solution

= sin (x) + C

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What is the integral of cot(x)e^{(ln(sin(x)))} ?
The integral of cot(x)e^{(ln(sin(x)))} is sin(x)+C