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Popular >

integral of x^2inx

Solution

\int x^{2} in x d x

Solution

\frac{in x ^{4}}{4} + C

Solution steps

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

Simplify

x^{2} x : x^{3}

= in \cdot \int x^{3} d x

Apply the Power Rule

: \frac{x ^{4}}{4}

= in \frac{x ^{4}}{4}

Multiply fractions:

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

= \frac{in x ^{4}}{4}

Add a constant to the solution

= \frac{in x ^{4}}{4} + C

Popular Examples

sum from n=1 to infinity of 8n

n = 1 \sum \infty 8 n

derivative of f(x)=((x^2+3)/(x^2-3))^4 derivative of

f (x) = (\frac{x ^{2} + 3}{x ^{2} - 3})^{4}

sum from n=1 to infinity of 1/(n^2+2n+5)

n = 1 \sum \infty \frac{1}{n ^{2} + 2 n + 5}

integral of (cos(3x)cos(2x))/3

\int \frac{cos ( 3 x ) cos ( 2 x )}{3} d x

integral from 0 to pi/6 of 20sec^4(x)

\int_{0}^{\frac{π}{6}} 20 sec^{4} (x) d x

Frequently Asked Questions (FAQ)

What is the integral of x^2inx ?
The integral of x^2inx is (inx^4)/4+C