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Popular >

integral of 2u^2

Solution

\int 2 u^{2} d u

Solution

\frac{2 u ^{3}}{3} + C

Solution steps

\int 2 u^{2} d u

Take the constant out:

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

= 2 \cdot \int u^{2} d u

Apply the Power Rule

: \frac{u ^{3}}{3}

= 2 \cdot \frac{u ^{3}}{3}

Multiply fractions:

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

= \frac{2 u ^{3}}{3}

Add a constant to the solution

= \frac{2 u ^{3}}{3} + C

Popular Examples

limit as x approaches-1 of (x-1)/(x+1)

x \to - 1 lim (\frac{x - 1}{x + 1})

integral of sin^5(x/2)

\int sin^{5} (\frac{x}{2}) d x

derivative of x^2sin(ln(x))

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

limit as x approaches 0 of sqrt(5-2x^2)

x \to 0 lim (5 - 2 x^{2})

limit as x approaches 3 of 2x^{-1}

x \to 3 lim (2 x^{- 1})

Frequently Asked Questions (FAQ)

What is the integral of 2u^2 ?
The integral of 2u^2 is (2u^3)/3+C