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Popular >

integral of x^2

Solution

\int x^{2} d x

Solution

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

Solution steps

\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

Popular Examples

limit as x approaches 0+of (2x)/(|x|)

x \to 0 + lim (\frac{2 x}{∣ x ∣})

derivative of sqrt(x)(x^2-1)

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

derivative of sqrt((x+2^2*(x^2)/2))

\frac{d}{d x} ((x + 2)^{2} \cdot \frac{x ^{2}}{2})

derivative of (e^x/(5x^3))

\frac{d}{d x} (\frac{e ^{x}}{5 x ^{3}})

tangent of f(x)=(1+5x)^{12},(0,1)tangent of

f (x) = (1 + 5 x)^{12}, (0, 1)

Frequently Asked Questions (FAQ)

What is the integral of x^2 ?
The integral of x^2 is (x^3)/3+C