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Popular >

integral of x^3x

Solution

\int x^{3} x d x

Solution

\frac{x ^{5}}{5} + C

Solution steps

\int x^{3} x d x

Simplify

x^{3} x : x^{4}

= \int x^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

= \frac{x ^{5}}{5}

Add a constant to the solution

= \frac{x ^{5}}{5} + C

Popular Examples

limit as x approaches 3+of sqrt(4-x^2)

x \to 3 + lim (4 - x^{2})

derivative of a*x+ln(x)

\frac{d}{d x} (a \cdot x + ln (x))

x \cdot \frac{d y}{d x} = 6 y

integral from 0 to 11/12 of 22x

\int_{0}^{\frac{11}{12}} 22 x d x

(dy)/(dx)=sin(11x)

\frac{d y}{d x} = sin (11 x)

Frequently Asked Questions (FAQ)

What is the integral of x^3x ?
The integral of x^3x is (x^5)/5+C