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Popular >

integral of x(x^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 from 1 to 2 of-2x+6

\int_{1}^{2} - 2 x + 6 d x

derivative of 1/(x^{16})

\frac{d}{d x} (\frac{1}{x ^{16}})

area y=-8x,y=12,x=-1,x=1 area

y = - 8 x, y = 12, x = - 1, x = 1

integral of ((U-2))/((U^2-3U-1))

\int \frac{( U - 2 )}{( U ^{2} - 3 U - 1 )} d U

area f(x)=16-x^2,0,4 area

f (x) = 16 - x^{2}, 0, 4

Frequently Asked Questions (FAQ)

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