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Popular >

integral of 9/(x^6)

Solution

\int \frac{9}{x ^{6}} d x

Solution

- \frac{9}{5 x ^{5}} + C

Solution steps

\int \frac{9}{x ^{6}} 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 ^{6}} d x

Apply the Power Rule

: - \frac{1}{5 x ^{5}}

= 9 (- \frac{1}{5 x ^{5}})

Simplify

9 (- \frac{1}{5 x ^{5}}) : - \frac{9}{5 x ^{5}}

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

Add a constant to the solution

= - \frac{9}{5 x ^{5}} + C

Popular Examples

integral of 3x^2(x^3+5)^4

\int 3 x^{2} (x^{3} + 5)^{4} d x

integral of (sin(x))/(1+3cos(x))

\int \frac{sin ( x )}{1 + 3 cos ( x )} d x

integral of (12-x)/(sqrt(x))

\int \frac{12 - x}{x} d x

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

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

integral of x/((2+3x)^2)

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

Frequently Asked Questions (FAQ)

What is the integral of 9/(x^6) ?
The integral of 9/(x^6) is -9/(5x^5)+C