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Popular >

integral of-x^5

Solution

\int - x^{5} d x

Solution

- \frac{x ^{6}}{6} + C

Solution steps

\int - x^{5} d x

Take the constant out:

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

= - \int x^{5} d x

Apply the Power Rule

: \frac{x ^{6}}{6}

= - \frac{x ^{6}}{6}

Add a constant to the solution

= - \frac{x ^{6}}{6} + C

Graph

Popular Examples

integral of (2u)/(4u^2+3)

\int \frac{2 u}{4 u ^{2} + 3} d u

derivative of e^{sin(x+y})

\frac{d}{d x} (e^{s i n (x + y)})

derivative of \sqrt[5]{x}-8/x

\frac{d}{d x} (5 x - \frac{8}{x})

limit as x approaches-3 of sqrt(4-x^2)

x \to - 3 lim (4 - x^{2})

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

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

Frequently Asked Questions (FAQ)

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