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Popular >

integral of a/(x^2)

Solution

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

Solution

- \frac{a}{x} + C

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= a \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

: - \frac{1}{x}

= a (- \frac{1}{x})

Simplify

a (- \frac{1}{x}) : - \frac{a}{x}

= - \frac{a}{x}

Add a constant to the solution

= - \frac{a}{x} + C

Graph

Popular Examples

integral of 1/((x+3))

\int \frac{1}{( x + 3 )} d x

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

\frac{d}{d x} (\frac{( 3 - 2 x - x ^{2} )}{( x ^{2} - 1 )})

(dy)/(dt)=y*ln(t),y(e)=200

\frac{d y}{d t} = y \cdot ln (t), y (e) = 200

limit as x approaches 2 of (-x)/((2-x))

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

integral of e^{x+7e^x}

\int e^{x + 7 e^{x}} d x

Frequently Asked Questions (FAQ)

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