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Popular >

integral of ln(3y)

Solution

\int ln (3 y) d y

Solution

y ln (3 y) - y + C

Solution steps

\int ln (3 y) d y

Apply Integration By Parts

: y ln (3 y) - \int 1 d y

= y ln (3 y) - \int 1 d y

\int 1 d y = y

= y ln (3 y) - y

Add a constant to the solution

= y ln (3 y) - y + C

Graph

Popular Examples

integral of 1/(1+sin(u))

\int \frac{1}{1 + sin ( u )} d u

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

integral of x(x-4)^8

\int x (x - 4)^{8} d x

integral of x/(6x^2-18)

\int \frac{x}{6 x ^{2} - 18} d x

integral of (x^2-1)/(x^2-x)

\int \frac{x ^{2} - 1}{x ^{2} - x} d x

Frequently Asked Questions (FAQ)

What is the integral of ln(3y) ?
The integral of ln(3y) is yln(3y)-y+C