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Popular >

integral of (x^2y^2)

Solution

\int (x^{2} y^{2}) d x

Solution

\frac{y ^{2} x ^{3}}{3} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

= y^{2} \frac{x ^{3}}{3}

Multiply fractions:

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

= \frac{y ^{2} x ^{3}}{3}

Add a constant to the solution

= \frac{y ^{2} x ^{3}}{3} + C

Popular Examples

derivative of x^2-5x+1/(x^{3/2)}derivative of

x^{2} - 5 x + \frac{1}{x ^{\frac{3}{2}}}

limit as x approaches 3 of (x-3)/(1+x)

x \to 3 lim (\frac{x - 3}{1 + x})

derivative of ((x^2+1)/((x^2-1)))

\frac{d}{d x} (\frac{( x ^{2} + 1 )}{( x ^{2} - 1 )})

tangent of 2/3 x^3+4x^2+6x-5 tangent of

\frac{2}{3} x^{3} + 4 x^{2} + 6 x - 5

integral of (196)/(w^2sqrt(49-w^2))

\int \frac{196}{w ^{2} 49 - w ^{2}} d w

Frequently Asked Questions (FAQ)

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