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Popular Calculus >

integral of xinx

Solution

\int x in x d x

Solution

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

Solution steps

\int x in x d x

Take the constant out:

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

= in \cdot \int xx d x

Simplify

xx : x^{2}

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

Apply the Power Rule

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

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

\int (x + 3)^{\frac{3}{2}} d x

slope of (-4,1),(1,-2)

s l o p e (- 4, 1), (1, - 2)

derivative of cos(3x^2+3x)

\frac{d}{d x} (cos (3 x^{2} + 3 x))

integral of (3x^2-1)e^x

\int (3 x^{2} - 1) e^{x} d x

integral of csc((ax)/b)cot((ax)/b)

\int csc (\frac{a x}{b}) cot (\frac{a x}{b}) d x

Frequently Asked Questions (FAQ)

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