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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

Graph

Popular Examples

y^{^{''}} + 4 y = x e^{x}

y^{''}-0.2y^'+0.01y=0,y(0)=14,y^'(0)=b

y^{^{''}} - 0.2 y^{^{'}} + 0.01 y = 0, y (0) = 14, y^{^{'}} (0) = b

derivative of (2x^5-3x^4-7x^3/(x^4))

\frac{d}{d x} (\frac{2 x ^{5} - 3 x ^{4} - 7 x ^{3}}{x ^{4}})

integral of sin(3θ)cos(5θ)

\int sin (3 θ) cos (5 θ) d θ

laplacetransform 2(t-2)^2+7(t-2)+9 laplace transform

2 (t - 2)^{2} + 7 (t - 2) + 9

Frequently Asked Questions (FAQ)

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