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Popular >

integral of (3x^2y)

Solution

\int (3 x^{2} y) d x

Solution

y x^{3} + C

Solution steps

\int 3 x^{2} y d x

Take the constant out:

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

= 3 y \cdot \int x^{2} d x

Apply the Power Rule

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

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

Simplify

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

= y x^{3}

Add a constant to the solution

= y x^{3} + C

Popular Examples

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integral of u^{-6}

\int u^{- 6} d u

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

x \frac{d y}{d x} + 2 y = - 3 sin (x)

Frequently Asked Questions (FAQ)

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