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Popular >

integral of x^{-5}

Solution

\int x^{- 5} d x

Solution

- \frac{1}{4 x ^{4}} + C

Solution steps

\int x^{- 5} d x

Apply the Power Rule

: - \frac{1}{4 x ^{4}}

= - \frac{1}{4 x ^{4}}

Add a constant to the solution

= - \frac{1}{4 x ^{4}} + C

Graph

Popular Examples

integral of (2x+1)/(x^2+6x+10)

\int \frac{2 x + 1}{x ^{2} + 6 x + 10} d x

limit as t approaches infinity of 1/(4t)

t \to \infty lim (\frac{1}{4 t})

derivative of f(x)=(sqrt(x))/(x+6)derivative of

f (x) = \frac{x}{x + 6}

simplify ln(xy)simplify

ln (x y)

(\partial)/(\partial x)(y^2-e^{xy}y)

\frac{\partial}{\partial x} (y^{2} - e^{x y} y)

Frequently Asked Questions (FAQ)

What is the integral of x^{-5} ?
The integral of x^{-5} is -1/(4x^4)+C