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Popular >

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

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

= 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

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 (6x)/(sqrt(1-x^2))

\int \frac{6 x}{1 - x ^{2}} d x

integral of x^{15}ln(3x^8)

\int x^{15} ln (3 x^{8}) d x

integral of e^{-t^2}integral

e^{- t^{2}}

Frequently Asked Questions (FAQ)

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