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Popular >

integral of 1/x x

Solution

\int \frac{1}{x} x d x

Solution

x + C

Solution steps

\int \frac{1}{x} x d x

\frac{1}{x} x = 1

= \int 1 d x

Integral of a constant:

\int a d x = a x

= 1 \cdot x

Simplify

= x

Add a constant to the solution

= x + C

Graph

Popular Examples

integral of (1+cos(2x))

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

limit as x approaches 1 of 2-1/x

x \to 1 lim (2 - \frac{1}{x})

integral of (sqrt(x^2-36))/x

\int \frac{x ^{2} - 36}{x} d x

derivative of ((1-3x))/(2+x)derivative of

\frac{( 1 - 3 x )}{2 + x}

derivative of 8sin(x-x)

\frac{d}{d x} (8 sin (x) - x)

Frequently Asked Questions (FAQ)

What is the integral of 1/x x ?
The integral of 1/x x is x+C