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Popular >

integral of ln(u)

Solution

\int ln (u) d u

Solution

u ln (u) - u + C

Solution steps

\int ln (u) d u

Apply Integration By Parts

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

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

\int 1 d u = u

= u ln (u) - u

Add a constant to the solution

= u ln (u) - u + C

Graph

Popular Examples

limit as x approaches infinity of (sqrt(x^2+3))/(sqrt(3x^2+1))

x \to \infty lim (\frac{x ^{2} + 3}{3 x ^{2} + 1})

integral of (2x^3+x^2-5)/(x-1)

\int \frac{2 x ^{3} + x ^{2} - 5}{x - 1} d x

(x^2+1)y^'+5x(y-1)=0,y(0)=9

(x^{2} + 1) y^{^{'}} + 5 x (y - 1) = 0, y (0) = 9

sum from n=0 to infinity of q^n

n = 0 \sum \infty q^{n}

integral of (1+8v)/(-16v^2)

\int \frac{1 + 8 v}{- 16 v ^{2}} d v

Frequently Asked Questions (FAQ)

What is the integral of ln(u) ?
The integral of ln(u) is uln(u)-u+C