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Popular >

integral of 8x^8

Solution

\int 8 x^{8} d x

Solution

\frac{8 x ^{9}}{9} + C

Solution steps

\int 8 x^{8} d x

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{9}}{9}

= 8 \cdot \frac{x ^{9}}{9}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{8 x ^{9}}{9}

Add a constant to the solution

= \frac{8 x ^{9}}{9} + C

Popular Examples

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\int \frac{2}{5 + 9 x ^{2}} d x

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\int 0.03 e^{0.08 x} d x

integral of 3x^3tanh(x^4)

\int 3 x^{3} tanh (x^{4}) d x

integral of 5x^{-9}

\int 5 x^{- 9} d x

Frequently Asked Questions (FAQ)

What is the integral of 8x^8 ?
The integral of 8x^8 is (8x^9)/9+C