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

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

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integral of ln(x)cos(x)

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

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

Solution steps

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

Apply Integration By Parts

: ln (x) sin (x) - \int \frac{sin ( x )}{x} d x

= ln (x) sin (x) - \int \frac{sin ( x )}{x} d x

\int \frac{sin ( x )}{x} d x = Si (x)

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

Add a constant to the solution

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

\frac{\partial}{\partial x} ((x^{2} - 2 y) (y^{2} - x))

\frac{d}{d x} (\frac{x + π}{x} cos (x))

\int 2^{7 - x} d x

\int \frac{e ^{- x}}{cos ^{2} ( e ^{- x} )} d x

ln (x^{2} - 7)

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