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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

(dy)/(dx)= 1/x (y^2+0.6y),y(1)=0.9

\frac{d y}{d x} = \frac{1}{x} (y^{2} + 0.6 y), y (1) = 0.9

limit as x approaches 4 of |x|-3^x

x \to 4 lim (∣ x ∣ - 3^{x})

integral from 0 to 2pi of x^2sin(nx)

\int_{0}^{2 π} x^{2} sin (n x) d x

tangent of 7/(x-2)tangent of

\frac{7}{x - 2}

integral of xin^2x

\int x i n^{2} x d x

Frequently Asked Questions (FAQ)

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