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Popular >

integral of 9/(x^5)

Solution

\int \frac{9}{x ^{5}} d x

Solution

- \frac{9}{4 x ^{4}} + C

Solution steps

\int \frac{9}{x ^{5}} 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 ^{5}} d x

Apply the Power Rule

: - \frac{1}{4 x ^{4}}

= 9 (- \frac{1}{4 x ^{4}})

Simplify

9 (- \frac{1}{4 x ^{4}}) : - \frac{9}{4 x ^{4}}

= - \frac{9}{4 x ^{4}}

Add a constant to the solution

= - \frac{9}{4 x ^{4}} + C

Popular Examples

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

\int \frac{x ^{2}}{3 x - 1} d x

integral of (sin(x/2))/2

\int \frac{sin ( \frac{x}{2} )}{2} d x

integral of 1/(t^2+3)

\int \frac{1}{t ^{2} + 3} d t

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

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

integral of (4(ln(x))^2)/(x^2)

\int \frac{4 ( ln ( x ) ) ^{2}}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 9/(x^5) ?
The integral of 9/(x^5) is -9/(4x^4)+C