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Popular >

integral of 1/6 x^2

Solution

\int \frac{1}{6} x^{2} d x

Solution

\frac{x ^{3}}{18} + C

Solution steps

\int \frac{1}{6} x^{2} d x

Take the constant out:

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

= \frac{1}{6} \cdot \int x^{2} d x

Apply the Power Rule

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

= \frac{1}{6} \cdot \frac{x ^{3}}{3}

Simplify

\frac{1}{6} \cdot \frac{x ^{3}}{3} : \frac{x ^{3}}{18}

= \frac{x ^{3}}{18}

Add a constant to the solution

= \frac{x ^{3}}{18} + C

Popular Examples

integral from 0 to 4 of 8e^{-3x}

\int_{0}^{4} 8 e^{- 3 x} d x

tangent of f(x)=x^3-x+1,\at x=3 tangent of

f (x) = x^{3} - x + 1, at x = 3

integral from 1 to 7 of 2/(x^3)

\int_{1}^{7} \frac{2}{x ^{3}} d x

derivative of tan(x/2)derivative of

tan (\frac{x}{2})

maclaurin sin(3x)maclaurin

sin (3 x)

Frequently Asked Questions (FAQ)

What is the integral of 1/6 x^2 ?
The integral of 1/6 x^2 is (x^3)/(18)+C