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Popular >

integral of 2xx

Solution

\int 2 xx d x

Solution

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

Solution steps

\int 2 xx d x

Take the constant out:

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

= 2 \cdot \int xx d x

Simplify

xx : x^{2}

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

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

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\frac{x + 1}{3 x ^{2} + 6 x + 7}

integral of sin^2(wt)

\int sin^{2} (wt) d t

maclaurin arctan(4x)maclaurin

arctan (4 x)

derivative of (x^{-2}+x^3*(4x)^{-2x})

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

(\partial)/(\partial x)(l-c)

\frac{\partial}{\partial x} (l - c)

Frequently Asked Questions (FAQ)

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