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Popular >

integral of 6/(x^6)

Solution

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

Solution

- \frac{6}{5 x ^{5}} + C

Solution steps

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

Apply the Power Rule

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

= 6 (- \frac{1}{5 x ^{5}})

Simplify

6 (- \frac{1}{5 x ^{5}}) : - \frac{6}{5 x ^{5}}

= - \frac{6}{5 x ^{5}}

Add a constant to the solution

= - \frac{6}{5 x ^{5}} + C

Popular Examples

derivative of 1-4/(x^2)

\frac{d}{d x} (1 - \frac{4}{x ^{2}})

sum from n=1 to infinity of 2^nx^{n-1}

n = 1 \sum \infty 2^{n} x^{n - 1}

(\frac{4}{3} π r^{3})^{^{'}}

integral of-(x-1)^2

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

derivative of f(x)=x^2e^{6x}derivative of

f (x) = x^{2} e^{6 x}

Frequently Asked Questions (FAQ)

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