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Popular >

integral of 1/9 x^2

Solution

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

Solution

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

Solution steps

\int \frac{1}{9} x^{2} 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

derivative of (((4x^3+2x^2)/(sin(x)))^2)

\frac{d}{d x} (\frac{( 4 x ^{3} + 2 x ^{2} )}{sin ( x )})^{2}

area y=(-2x^2+3x-15)/(x^3-9x),x=1,x=2 area

y = \frac{- 2 x ^{2} + 3 x - 15}{x ^{3} - 9 x}, x = 1, x = 2

integral of sin((2x)/3)

\int sin (\frac{2 x}{3}) d x

derivative of ln((2x^{3x}))

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

normal of y=x^2-3x,(3,0)normal of

y = x^{2} - 3 x, (3, 0)

Frequently Asked Questions (FAQ)

What is the integral of 1/9 x^2 ?
The integral of 1/9 x^2 is (x^3)/(27)+C