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Popular >

integral of (3x+2y)

Solution

\int (3 x + 2 y) d x

Solution

2 y x + \frac{3 x ^{2}}{2} + C

Solution steps

\int 3 x + 2 y d x

Apply the Sum Rule:

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

= \int 2 y d x + \int 3 x d x

\int 2 y d x = 2 y x

\int 3 x d x = \frac{3 x ^{2}}{2}

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

Add a constant to the solution

= 2 y x + \frac{3 x ^{2}}{2} + C

Popular Examples

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\frac{d}{d x} (- x ln (x))

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derivative of 5t^{7/5}+5e^3 derivative of

5 t^{\frac{7}{5}} + 5 e^{3}

y^{^{'}} = 7 y^{2} sin (x)

d/(dm)(5m^2+15m^3)

\frac{d}{d m} (5 m^{2} + 15 m^{3})

Frequently Asked Questions (FAQ)

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