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Popular >

integral of 1/x x^2

Solution

\int \frac{1}{x} x^{2} d x

Solution

\frac{x ^{2}}{2} + C

Solution steps

\int \frac{1}{x} x^{2} d x

Simplify

\frac{1}{x} x^{2} : x

= \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= \frac{x ^{2}}{2}

Add a constant to the solution

= \frac{x ^{2}}{2} + C

Graph

Popular Examples

integral of x/(x^2+1)+(x^5)/((x^6+1)^2)

\int \frac{x}{x ^{2} + 1} + \frac{x ^{5}}{( x ^{6} + 1 ) ^{2}} d x

integral of 1 (e^{-3x})

\int \frac{d}{1} (e^{- 3 x}) d x

integral of ((sin(2pix))(cos(2pix)))

\int ((sin (2 π x)) (cos (2 π x))) d x

integral of (1+1/x)^2(1/(x^2))

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

integral of (cos(x)tan(x))

\int (cos (x) tan (x)) d x

Frequently Asked Questions (FAQ)

What is the integral of 1/x x^2 ?
The integral of 1/x x^2 is (x^2)/2+C