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Popular >

integral of (6xy)

Solution

\int (6 x y) d x

Solution

3 y x^{2} + C

Solution steps

\int 6 x y d x

Take the constant out:

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

= 6 y \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= 6 y \frac{x ^{2}}{2}

Simplify

6 y \frac{x ^{2}}{2} : 3 y x^{2}

= 3 y x^{2}

Add a constant to the solution

= 3 y x^{2} + C

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\int x^{3} x d x

limit as x approaches 3+of sqrt(4-x^2)

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

Frequently Asked Questions (FAQ)

What is the integral of (6xy) ?
The integral of (6xy) is 3yx^2+C