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Popular >

integral of ln(X)

Solution

\int ln (X) d X

Solution

X ln (X) - X + C

Solution steps

\int ln (X) d X

Apply Integration By Parts

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

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

\int 1 d X = X

= X ln (X) - X

Add a constant to the solution

= X ln (X) - X + C

Popular Examples

limit as x approaches 1+of 2x+5

x \to 1 + lim (2 x + 5)

integral of (1+x)^2

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

integral of 11tan^2(x)sec^3(x)

\int 11 tan^{2} (x) sec^{3} (x) d x

integral of sqrt(1+2sin(3x))cos(3x)

\int 1 + 2 sin (3 x) cos (3 x) d x

limit as x approaches 1 of 8

x \to 1 lim (8)

Frequently Asked Questions (FAQ)

What is the integral of ln(X) ?
The integral of ln(X) is Xln(X)-X+C