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Popular >

integral of 9/(x^3)

Solution

\int \frac{9}{x ^{3}} d x

Solution

- \frac{9}{2 x ^{2}} + C

Solution steps

\int \frac{9}{x ^{3}} 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 ^{3}} d x

Apply the Power Rule

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

= 9 (- \frac{1}{2 x ^{2}})

Simplify

9 (- \frac{1}{2 x ^{2}}) : - \frac{9}{2 x ^{2}}

= - \frac{9}{2 x ^{2}}

Add a constant to the solution

= - \frac{9}{2 x ^{2}} + C

Popular Examples

(\partial)/(\partial r)(z)

\frac{\partial}{\partial r} (z)

derivative of 2/3 (x+3^{3/2})

\frac{d}{d x} (\frac{2}{3} (x + 3)^{\frac{3}{2}})

13xdx=127(92)ydy

13 x d x = 127 (92) y d y

x^{^{'}} = 1 - x^{2}

integral of sqrt(3-4x^2)

\int 3 - 4 x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of 9/(x^3) ?
The integral of 9/(x^3) is -9/(2x^2)+C