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Popular >

integral of-1/(x^5)

Solution

\int - \frac{1}{x ^{5}} d x

Solution

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

Solution steps

\int - \frac{1}{x ^{5}} d x

Take the constant out:

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

= - \int \frac{1}{x ^{5}} d x

Apply the Power Rule

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

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

Simplify

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

Add a constant to the solution

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

Popular Examples

derivative of-x/(3y)derivative of

- \frac{x}{3 y}

integral of 2/(2-e^x)

\int \frac{2}{2 - e ^{x}} d x

d/(d{x)}({x}^{{y}^{{z}}})

\frac{d}{d x} (x^{y^{z}})

derivative of y=(3x^3+4)^2 derivative of

y = (3 x^{3} + 4)^{2}

integral of 2^{x+1}

\int 2^{x + 1} d x

Frequently Asked Questions (FAQ)

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