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Popular >

integral of (x^2)/9

Solution

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

Solution

\frac{x ^{3}}{27} + C

Solution steps

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

Take the constant out:

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

= \frac{1}{9} \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= \frac{1}{9} \cdot \frac{x ^{3}}{3}

Simplify

\frac{1}{9} \cdot \frac{x ^{3}}{3} : \frac{x ^{3}}{27}

= \frac{x ^{3}}{27}

Add a constant to the solution

= \frac{x ^{3}}{27} + C

Popular Examples

tangent of f(x)=5e^x+x,(0,5)tangent of

f (x) = 5 e^{x} + x, (0, 5)

limit as x approaches b of (x-b)/(sqrt(x)-\sqrt{b)}

x \to b lim (\frac{x - b}{x - b})

integral of (x+21)/(x^2+12x+40)

\int \frac{x + 21}{x ^{2} + 12 x + 40} d x

sum from n=0 to infinity of (n^3)/(3^n)

n = 0 \sum \infty \frac{n ^{3}}{3 ^{n}}

derivative of ((x^3/9)^2)

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

Frequently Asked Questions (FAQ)

What is the integral of (x^2)/9 ?
The integral of (x^2)/9 is (x^3)/(27)+C