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Popular >

integral of ln(ax)

Solution

\int ln (a x) d x

Solution

x ln (a x) - x + C

Solution steps

\int ln (a x) d x

Apply Integration By Parts

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

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

\int 1 d x = x

= x ln (a x) - x

Add a constant to the solution

= x ln (a x) - x + C

Graph

Popular Examples

integral of (18)/((81x^2+1)^2)

\int \frac{18}{( 81 x ^{2} + 1 ) ^{2}} d x

derivative of h(t)=sqrt(t)(1-t^2)derivative of

h (t) = t (1 - t^{2})

laplacetransform x*e^{(-4x)}laplace transform

x \cdot e^{(- 4 x)}

slope ofintercept (-7.2)(9.6)slope intercept

(- 7.2) (9.6)

integral from 1 to 2 of 4/(x^3+4x)

\int_{1}^{2} \frac{4}{x ^{3} + 4 x} d x

Frequently Asked Questions (FAQ)

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