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Popular Calculus >

integral of x^2)

Solution

\int d (x^{2}) d x

Solution

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

Solution steps

\int d x^{2} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= d \cdot \int x^{2} d x

Apply the Power Rule

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (x^2+2x-2)/(x^3-x^2-2x)

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

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

\int \frac{5 x}{x ^{2} + 2} d x

integral of e^{-t^2}

in t e g r a l e^{- t^{2}}

integral of sec^{11}(θ)tan(θ)

\int sec^{11} (θ) tan (θ) d θ

integral of ((sqrt(x)+8)^7)/(2sqrt(x))

\int \frac{( x + 8 ) ^{7}}{2 x} d x

Frequently Asked Questions (FAQ)

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