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Popular >

integral of 4x+3y

Solution

\int 4 x + 3 y d x

Solution

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

Solution steps

\int 4 x + 3 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 3 y d x + \int 4 x d x

\int 3 y d x = 3 y x

\int 4 x d x = 2 x^{2}

= 3 y x + 2 x^{2}

Add a constant to the solution

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

Popular Examples

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\int \frac{1}{5 y ^{2}} d y

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\int \frac{1}{e ^{\frac{7}{3} x}} d x

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\int sin (- 8 x) d x

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\int 3 y e^{3} z d z

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\int e^{- 3 t} t d t

Frequently Asked Questions (FAQ)

What is the integral of 4x+3y ?
The integral of 4x+3y is 3yx+2x^2+C