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Popular >

integral of (x^3)

Solution

\int (x^{3}) d x

Solution

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

Solution steps

\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 3/(x^2-2x-3)

\int \frac{3}{x ^{2} - 2 x - 3} d x

integral of 1/(x^{1/3)+x^{1/2}}

\int \frac{1}{x ^{\frac{1}{3}} + x ^{\frac{1}{2}}} d x

x+1(dy)/(dx)+(x+2)y=2xe^{-x}

x + 1 \frac{d y}{d x} + (x + 2) y = 2 x e^{- x}

integral from 0 to x of sqrt(1+t^2)

\int_{0}^{x} 1 + t^{2} d t

derivative of 4x^{1/4}

\frac{d}{d x} (4 x^{\frac{1}{4}})

Frequently Asked Questions (FAQ)

What is the integral of (x^3) ?
The integral of (x^3) is (x^4)/4+C