What is the integral of cos(x)ln(sin(x)) ?

The integral of cos(x)ln(sin(x)) is ln(sin(x))sin(x)-sin(x)+C

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integral of cos(x)ln(sin(x))

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

ln (sin (x)) sin (x) - sin (x) + C

Solution steps

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

Apply Integration By Parts

: ln (sin (x)) sin (x) - \int cos (x) d x

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

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

= ln (sin (x)) sin (x) - sin (x)

Add a constant to the solution

= ln (sin (x)) sin (x) - sin (x) + C

\int e^{x^{7}} d x

e^{- cs}

\frac{\partial}{\partial x} (1 - x)

\frac{d}{d x} (- 5 e^{- x} - 6 e^{x})

\frac{d}{d x} (4 - \frac{1}{x ^{2}})

What is the integral of cos(x)ln(sin(x)) ?
The integral of cos(x)ln(sin(x)) is ln(sin(x))sin(x)-sin(x)+C