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Popular Calculus >

integral of (6xy+4x)

Solution

\int (6 x y + 4 x) d y

Solution

4 x y + 3 x y^{2} + C

Solution steps

\int 6 x y + 4 x d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 4 x d y + \int 6 x y d y

\int 4 x d y = 4 x y

\int 6 x y d y = 3 x y^{2}

= 4 x y + 3 x y^{2}

Add a constant to the solution

= 4 x y + 3 x y^{2} + C

Graph

Popular Examples

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x \to - 9 lim (5 x - 4)

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in v erse l a pl a ce - \frac{75}{s ^{2} + 6 s + 25}

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h \to 0 lim (\frac{h ^{2}}{3 ∣ h ∣})

derivative of ln(4x+9)

\frac{d}{d x} (ln (4 x + 9))

limit as x approaches-6 of (x^2-5)/(6-x)

x \to - 6 lim (\frac{x ^{2} - 5}{6 - x})

Frequently Asked Questions (FAQ)

What is the integral of (6xy+4x) ?
The integral of (6xy+4x) is 4xy+3xy^2+C