What is the integral of (cotan(ln(x)))/(2x) ?

The integral of (cotan(ln(x)))/(2x) is c/(4x)o^2tan(ln(x))+C

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integral of (cotan(ln(x)))/(2x)

\int \frac{co tan ( ln ( x ) )}{2 x}

\frac{c}{4 x} o^{2} tan (ln (x)) + C

Solution steps

\int \frac{co tan ( ln ( x ) )}{2 x} d o

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{tan ( ln ( x ) ) c}{2 x} \cdot \int o d o

Apply the Power Rule

: \frac{o ^{2}}{2}

= \frac{tan ( ln ( x ) ) c}{2 x} \cdot \frac{o ^{2}}{2}

Simplify

\frac{tan ( ln ( x ) ) c}{2 x} \cdot \frac{o ^{2}}{2} : \frac{c}{4 x} o^{2} tan (ln (x))

= \frac{c}{4 x} o^{2} tan (ln (x))

Add a constant to the solution

= \frac{c}{4 x} o^{2} tan (ln (x)) + C

\frac{\partial ^{2}}{\partial y ^{2}} (x^{3} + 3 x y^{2})

x \to 0 - lim (\frac{2}{e ^{x} + 1})

x \frac{1}{x ^{3}}

\frac{d y}{d x} + 3 y = e^{- 3 x}

\frac{2 x - 5}{x ^{2} - 1}

What is the integral of (cotan(ln(x)))/(2x) ?
The integral of (cotan(ln(x)))/(2x) is c/(4x)o^2tan(ln(x))+C