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Popular >

integral of-6x^9

Solution

\int - 6 x^{9} d x

Solution

- \frac{3 x ^{10}}{5} + C

Solution steps

\int - 6 x^{9} d x

Take the constant out:

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

= - 6 \cdot \int x^{9} d x

Apply the Power Rule

: \frac{x ^{10}}{10}

= - 6 \cdot \frac{x ^{10}}{10}

Simplify

- 6 \cdot \frac{x ^{10}}{10} : - \frac{3 x ^{10}}{5}

= - \frac{3 x ^{10}}{5}

Add a constant to the solution

= - \frac{3 x ^{10}}{5} + C

Graph

Popular Examples

integral of (2x+8)/(x^2+8x+3)

\int \frac{2 x + 8}{x ^{2} + 8 x + 3} d x

integral of-72x^{-3}

\int - 72 x^{- 3} d x

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

\int \frac{x ^{2}}{( x ^{3} - 2 ) ^{5}} d x

integral of (x^2+23)/(x^2+25)

\int \frac{x ^{2} + 23}{x ^{2} + 25} d x

integral of [ln(x+sqrt(1+x^2))]^2

\int [ln (x + 1 + x^{2})]^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of-6x^9 ?
The integral of-6x^9 is -(3x^{10})/5+C