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Popular >

integral of-10x^{-6}

Solution

\int - 10 x^{- 6} d x

Solution

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

Solution steps

\int - 10 x^{- 6} d x

Take the constant out:

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

= - 10 \cdot \int x^{- 6} d x

Apply the Power Rule

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

= - 10 (- \frac{1}{5 x ^{5}})

Simplify

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

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

Add a constant to the solution

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

Popular Examples

integral of (3^x-x^3+e^x)

\int (3^{x} - x^{3} + e^{x}) d x

limit as x approaches 0 of-3x^2-5x+1

x \to 0 lim (- 3 x^{2} - 5 x + 1)

integral of (7-x^2)/(5x^3+x)

\int \frac{7 - x ^{2}}{5 x ^{3} + x} d x

limit as x approaches 0 of xe^{-1/x}

x \to 0 lim (x e^{- \frac{1}{x}})

tangent of f(x)=8sqrt(x),\at x=16 tangent of

f (x) = 8 x, at x = 16

Frequently Asked Questions (FAQ)

What is the integral of-10x^{-6} ?
The integral of-10x^{-6} is 2/(x^5)+C