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Popular >

integral of 3x+4y

Solution

\int 3 x + 4 y d x

Solution

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

Solution steps

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

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

\int 4 y d x = 4 y x

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (x-3)/(x^2+5x+10)

\int \frac{x - 3}{x ^{2} + 5 x + 10} d x

integral of (sqrt(x))/(sqrt(1+\sqrt{x))}

\int \frac{x}{1 + x} d x

integral of x^9sin(x)

\int x^{9} sin (x) d x

integral of e^θcsc(e^θ+1)

\int e^{θ} csc (e^{θ} + 1) d θ

integral of (4x+2)/(x(x-1))

\int \frac{4 x + 2}{x ( x - 1 )} d x

Frequently Asked Questions (FAQ)

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