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Popular >

integral of 9/(x^5)

Solution

integral

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

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 3x+2 integral

3 x + 2

integral of (2x+1)/(x^2+11x+30)integral

\frac{2 x + 1}{x ^{2} + 11 x + 30}

integral of ((u-1)^{0.5})/u integral

\frac{( u - 1 ) ^{0.5}}{u}

integral of ((y+1)^2)/y integral

\frac{( y + 1 ) ^{2}}{y}

integral of (1-y)^4 integral

(1 - y)^{4}

Frequently Asked Questions (FAQ)

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