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Popular >

integral of ln(kx)

Solution

\int ln (k x) d x

Solution

x ln (k x) - x + C

Solution steps

\int ln (k x) d x

Apply Integration By Parts

: x ln (k x) - \int 1 d x

= x ln (k x) - \int 1 d x

\int 1 d x = x

= x ln (k x) - x

Add a constant to the solution

= x ln (k x) - x + C

Graph

Popular Examples

derivative of (3x^2/(2y^2))

\frac{d}{d x} (\frac{3 x ^{2}}{2 y ^{2}})

(\partial)/(\partial x)(cos(z))

\frac{\partial}{\partial x} (cos (z))

derivative of e^{0.5}+5x-5

\frac{d}{d x} (e^{0.5} + 5 x - 5)

y^{''}+10y+25y=0

y^{^{''}} + 10 y + 25 y = 0

(\partial)/(\partial x)((ln(x))/(x^2))

\frac{\partial}{\partial x} (\frac{ln ( x )}{x ^{2}})

Frequently Asked Questions (FAQ)

What is the integral of ln(kx) ?
The integral of ln(kx) is xln(kx)-x+C