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Popular >

integral of xin(x)

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

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

= 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

Popular Examples

integral of (cos(x))/(sqrt(1-sin(x)))

\int \frac{cos ( x )}{1 - sin ( x )} d x

(e^{3 x})^{^{'}}

limit as x approaches 3 of (2x-3)/(x+5)

x \to 3 lim (\frac{2 x - 3}{x + 5})

integral from 0 to 1 of ln(5x)

\int_{0}^{1} ln (5 x) d x

limit as x approaches 0 of 9x^2+6x

x \to 0 lim (9 x^{2} + 6 x)

Frequently Asked Questions (FAQ)

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