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Popular >

integral of 5x^9

Solution

\int 5 x^{9} d x

Solution

\frac{x ^{10}}{2} + C

Solution steps

\int 5 x^{9} d x

Take the constant out:

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

= 5 \cdot \int x^{9} d x

Apply the Power Rule

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

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

Simplify

5 \cdot \frac{x ^{10}}{10} : \frac{x ^{10}}{2}

= \frac{x ^{10}}{2}

Add a constant to the solution

= \frac{x ^{10}}{2} + C

Popular Examples

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4 t^{\frac{1}{2}}

area 4-x^2,2-x area

4 - x^{2}, 2 - x

derivative of 16xe^{-x}

\frac{d}{d x} (16 x e^{- x})

integral of-3x^{-4}

\int - 3 x^{- 4} d x

limit as x approaches 1+of sqrt(x^2-1)

x \to 1 + lim (x^{2} - 1)

Frequently Asked Questions (FAQ)

What is the integral of 5x^9 ?
The integral of 5x^9 is (x^{10})/2+C