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Popular >

integral of (x^2)/9

Solution

integral

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

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

integral of (e^{-x})/2 integral

\frac{e ^{- x}}{2}

integral of 6/((1+t^2))integral

\frac{6}{( 1 + t ^{2} )}

integral of sqrt(a^2+x^2)integral

a^{2} + x^{2}

integral of ln(1+x^2)integral

ln (1 + x^{2})

integral of 1/((2x^2+1))integral

\frac{1}{( 2 x ^{2} + 1 )}

Frequently Asked Questions (FAQ)

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