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Popular >

integral of x^2In

Solution

\int x^{2} I n d x

Solution

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

Solution steps

\int x^{2} I n d x

Take the constant out:

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

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

Apply the Power Rule

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

= I n \frac{x ^{3}}{3}

Multiply fractions:

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

= \frac{I n x ^{3}}{3}

Add a constant to the solution

= \frac{I n x ^{3}}{3} + C

Popular Examples

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sum from n=3 to infinity of 2/(n^2-2n)

n = 3 \sum \infty \frac{2}{n ^{2} - 2 n}

(\partial)/(\partial y)(-x-y)

\frac{\partial}{\partial y} (- x - y)

limit as x approaches-infinity of e^{3x}

x \to - \infty lim (e^{3 x})

y^'-7/x y=(y^4)/(x^5)

y^{^{'}} - \frac{7}{x} y = \frac{y ^{4}}{x ^{5}}

Frequently Asked Questions (FAQ)

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