en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of ln(7x)

Solution

\int ln (7 x) d x

Solution

x ln (7 x) - x + C

Solution steps

\int ln (7 x) d x

Apply Integration By Parts

= x ln (7 x) - \int 1 d x

\int 1 d x = x

= x ln (7 x) - x

Add a constant to the solution

= x ln (7 x) - x + C

Graph

Popular Examples

derivative of x^4+5cos(x)

\frac{d}{d x} (x^{4} + 5 cos (x))

derivative of 5log_{10}(4x^2)

\frac{d}{d x} (5 lo g_{10} (4 x^{2}))

integral of csc^3(4x)

\int csc^{3} (4 x) d x

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

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

integral of (3x+11)/(x^2-x-6)

\int \frac{3 x + 11}{x ^{2} - x - 6} d x

Frequently Asked Questions (FAQ)

What is the integral of ln(7x) ?
The integral of ln(7x) is xln(7x)-x+C