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Popular >

integral of ln(y)

Solution

\int ln (y) d y

Solution

y ln (y) - y + C

Solution steps

\int ln (y) d y

Apply Integration By Parts

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

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

\int 1 d y = y

= y ln (y) - y

Add a constant to the solution

= y ln (y) - y + C

Popular Examples

integral of 3x^2-24x+36

\int 3 x^{2} - 24 x + 36 d x

d/(d{x)}(e^{{x}}cos({y}{z}))

\frac{d}{d x} (e^{x} cos (y z))

(dy)/(dx)=((x-y))/(x+2y),y(0)=1

\frac{d y}{d x} = \frac{( x - y )}{x + 2 y}, y (0) = 1

f^{''}(x)=x^{1/14}

f^{^{''}} (x) = x^{\frac{1}{14}}

integral from 1 to 2 of 3^{-θ}

\int_{1}^{2} 3^{- θ} d θ

Frequently Asked Questions (FAQ)

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