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Popular >

integral of 5x^8

Solution

\int 5 x^{8} d x

Solution

\frac{5 x ^{9}}{9} + C

Solution steps

\int 5 x^{8} d x

Take the constant out:

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

= 5 \cdot \int x^{8} d x

Apply the Power Rule

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

= 5 \cdot \frac{x ^{9}}{9}

Multiply fractions:

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

= \frac{5 x ^{9}}{9}

Add a constant to the solution

= \frac{5 x ^{9}}{9} + C

Popular Examples

derivative of 2/3 x^9

\frac{d}{d x} (\frac{2}{3} x^{9})

sum from n=-infinity to infinity of 1/n

n = - \infty \sum \infty \frac{1}{n}

derivative of e^{-x}x^2-4e^{-x}x+2e^{-x}

\frac{d}{d x} (e^{- x} x^{2} - 4 e^{- x} x + 2 e^{- x})

tangent of f(x)=x^2-5 tangent of

f (x) = x^{2} - 5

y^{'''}+2y^{''}+5y^'-26y=0

y^{^{'''}} + 2 y^{^{''}} + 5 y^{^{'}} - 26 y = 0

Frequently Asked Questions (FAQ)

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