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Popular >

integral of-2x^{-6}

Solution

\int - 2 x^{- 6} d x

Solution

\frac{2}{5 x ^{5}} + C

Solution steps

\int - 2 x^{- 6} d x

Take the constant out:

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

= - 2 \cdot \int x^{- 6} d x

Apply the Power Rule

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

= - 2 (- \frac{1}{5 x ^{5}})

Simplify

- 2 (- \frac{1}{5 x ^{5}}) : \frac{2}{5 x ^{5}}

= \frac{2}{5 x ^{5}}

Add a constant to the solution

= \frac{2}{5 x ^{5}} + C

Graph

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\int \frac{( x + 3 )}{x ^{2} + 6 x + 1} d x

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\int \frac{x + 1}{x ^{2} + 2 x + 49} d x

integral of x^{1.9}+7x^{2.5}

\int x^{1.9} + 7 x^{2.5} d x

integral of ((x^2))/(x^4-1)

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

integral of e^{t/4}

\int e^{\frac{t}{4}} d t

Frequently Asked Questions (FAQ)

What is the integral of-2x^{-6} ?
The integral of-2x^{-6} is 2/(5x^5)+C