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Popular >

integral of 8x^9

Solution

\int 8 x^{9} d x

Solution

\frac{4 x ^{10}}{5} + C

Solution steps

\int 8 x^{9} d x

Take the constant out:

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

= 8 \cdot \int x^{9} d x

Apply the Power Rule

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

= 8 \cdot \frac{x ^{10}}{10}

Simplify

8 \cdot \frac{x ^{10}}{10} : \frac{4 x ^{10}}{5}

= \frac{4 x ^{10}}{5}

Add a constant to the solution

= \frac{4 x ^{10}}{5} + C

Graph

Popular Examples

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\int s^{\frac{1}{5}} cos (s^{\frac{6}{5}} + 3) d s

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

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\int (x^{3} + 8)^{5} 3 x^{2} d x

integral of 2e^{0.2x}

\int 2 e^{0.2 x} d x

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

\int \frac{x}{( 3 x + 1 ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 8x^9 ?
The integral of 8x^9 is (4x^{10})/5+C