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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

inverse oflaplace 1/(10s)inverse laplace

\frac{1}{10 s}

y^{^{'}} = 3 y (5 - y)

y^'=((2x))/(1+2y),y(2)=1

y^{^{'}} = \frac{( 2 x )}{1 + 2 y}, y (2) = 1

derivative of y=ln(x^2\sqrt[3]{5x+2})derivative of

limit as x approaches 0 of ln(2)

x \to 0 lim (ln (2))

Frequently Asked Questions (FAQ)

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