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Popular >

integral of (x^3)/x

Solution

\int \frac{x ^{3}}{x} d x

Solution

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

Solution steps

\int \frac{x ^{3}}{x} d x

Cancel the common factor:

x

= \int x^{2} d x

Apply the Power Rule

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral from 0 to 2 of 5x^3sqrt(x^2+4)

\int_{0}^{2} 5 x^{3} x^{2} + 4 d x

limit as x approaches 3-of cx^2+4x

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

integral of (x^2+5x+1)/((x^2+1)^2)

\int \frac{x ^{2} + 5 x + 1}{( x ^{2} + 1 ) ^{2}} d x

derivative of (-1)/((1+x)^2)derivative of

\frac{- 1}{( 1 + x ) ^{2}}

limit as x approaches 0 of (sin(x))^x

x \to 0 lim ((sin (x))^{x})

Frequently Asked Questions (FAQ)

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