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Popular >

integral of 3x^9

Solution

\int 3 x^{9} d x

Solution

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

Solution steps

\int 3 x^{9} d x

Take the constant out:

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

= 3 \cdot \int x^{9} d x

Apply the Power Rule

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

= 3 \cdot \frac{x ^{10}}{10}

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

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

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

integral of (2e^x)/x

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

Frequently Asked Questions (FAQ)

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