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Popular >

integral of x^2y

Solution

\int x^{2} y d y

Solution

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

Solution steps

\int x^{2} y d y

Take the constant out:

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

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

Apply the Power Rule

: \frac{y ^{2}}{2}

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

Multiply fractions:

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

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

Add a constant to the solution

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

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derivative of c*e^x

\frac{d}{d x} (c \cdot e^{x})

Frequently Asked Questions (FAQ)

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