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Popular >

integral of x^{-13}

Solution

\int x^{- 13} d x

Solution

- \frac{1}{12 x ^{12}} + C

Solution steps

\int x^{- 13} d x

Apply the Power Rule

: - \frac{1}{12 x ^{12}}

= - \frac{1}{12 x ^{12}}

Add a constant to the solution

= - \frac{1}{12 x ^{12}} + C

Popular Examples

integral of 1/(x^2sqrt(x^2-49))

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

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

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

integral of (2x^2)/(1-2x^3)

\int \frac{2 x ^{2}}{1 - 2 x ^{3}} d x

tangent of f(x)=(12x-3)^{1/2},\at x=1 tangent of

f (x) = (12 x - 3)^{\frac{1}{2}}, at x = 1

limit as x approaches-infinity of e^x-x

x \to - \infty lim (e^{x} - x)

Frequently Asked Questions (FAQ)

What is the integral of x^{-13} ?
The integral of x^{-13} is -1/(12x^{12)}+C