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Popular >

integral of 6/(x^7)

Solution

\int \frac{6}{x ^{7}} d x

Solution

- \frac{1}{x ^{6}} + C

Solution steps

\int \frac{6}{x ^{7}} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 6 \cdot \int \frac{1}{x ^{7}} d x

Apply the Power Rule

: - \frac{1}{6 x ^{6}}

= 6 (- \frac{1}{6 x ^{6}})

Simplify

6 (- \frac{1}{6 x ^{6}}) : - \frac{1}{x ^{6}}

= - \frac{1}{x ^{6}}

Add a constant to the solution

= - \frac{1}{x ^{6}} + C

Popular Examples

integral of cot(3-7x)

\int cot (3 - 7 x) d x

derivative of f(x)=((x^2-1))/(2x-3)derivative of

f (x) = \frac{( x ^{2} - 1 )}{2 x - 3}

derivative of (ln(x)^2)

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

integral of (7-98x)/(sqrt(64-49x^2))

\int \frac{7 - 98 x}{64 - 49 x ^{2}} d x

integral of (x^2)/(a^2)

\int \frac{x ^{2}}{a ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 6/(x^7) ?
The integral of 6/(x^7) is -1/(x^6)+C