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Popular >

integral of xx^2

Solution

\int x x^{2} d x

Solution

\frac{x ^{4}}{4} + C

Solution steps

\int x x^{2} d x

Simplify

x x^{2} : x^{3}

= \int x^{3} d x

Apply the Power Rule

: \frac{x ^{4}}{4}

= \frac{x ^{4}}{4}

Add a constant to the solution

= \frac{x ^{4}}{4} + C

Popular Examples

integral of t(1-t^2)^{10}

\int t (1 - t^{2})^{10} d t

integral of (sec^2(x))/2

\int \frac{sec ^{2} ( x )}{2} d x

integral of 2/(2+sqrt(x))

\int \frac{2}{2 + x} d x

integral of x^2*cos(x^3)

\int x^{2} \cdot cos (x^{3}) d x

integral of (2ln(x)+3)/x

\int \frac{2 ln ( x ) + 3}{x} d x

Frequently Asked Questions (FAQ)

What is the integral of xx^2 ?
The integral of xx^2 is (x^4)/4+C