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Popular >

integral of-9/(x^2)

Solution

\int - \frac{9}{x ^{2}} d x

Solution

\frac{9}{x} + C

Solution steps

\int - \frac{9}{x ^{2}} d x

Take the constant out:

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

= - 9 \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

: - \frac{1}{x}

= - 9 (- \frac{1}{x})

Simplify

- 9 (- \frac{1}{x}) : \frac{9}{x}

= \frac{9}{x}

Add a constant to the solution

= \frac{9}{x} + C

Popular Examples

integral of (x+4)(3x-5)

\int (x + 4) (3 x - 5) d x

integral of (4x+6)/((x+1)^2)

\int \frac{4 x + 6}{( x + 1 ) ^{2}} d x

integral of (-y)/(x^2)

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

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

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

integral of sin^4(7x)cos(7x)

\int sin^{4} (7 x) cos (7 x) d x

Frequently Asked Questions (FAQ)

What is the integral of-9/(x^2) ?
The integral of-9/(x^2) is 9/x+C