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Popular >

integral of 1 (x^2y)

Solution

\int \frac{d}{1} (x^{2} y) d x

Solution

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

Solution steps

\int \frac{d}{1} x^{2} y d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

x(dy)/(dx)+2y=3x

x \frac{d y}{d x} + 2 y = 3 x

derivative of cos(2x*sin(2x))

\frac{d}{d x} (cos (2 x) \cdot sin (2 x))

integral of 6/(x^5)

\int \frac{6}{x ^{5}} d x

limit as x approaches-7-of x^2+4/(x+7)

x \to - 7 - lim (x^{2} + \frac{4}{x + 7})

limit as x approaches 2 of 3x^2-4x+6

x \to 2 lim (3 x^{2} - 4 x + 6)

Frequently Asked Questions (FAQ)

What is the integral of 1 (x^2y) ?
The integral of 1 (x^2y) is (dyx^3)/3+C