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Popular Calculus >

integral of (2x+4y)

Solution

\int (2 x + 4 y) d x

Solution

x^{2} + 4 y x + C

Solution steps

\int 2 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 2 x d x + \int 4 y d x

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

\int 4 y d x = 4 y x

= x^{2} + 4 y x

Add a constant to the solution

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

Graph

Popular Examples

integral of (2e^x+sin(x)-cos(x))

\int (2 e^{x} + sin (x) - cos (x)) d x

integral of 1/(x(x^6+8))

\int \frac{1}{x ( x ^{6} + 8 )} d x

integral of x/(2+4x^2)

\int \frac{x}{2 + 4 x ^{2}} d x

integral of r/(sqrt(r^2-x^2))

\int \frac{r}{r ^{2} - x ^{2}} d x

integral of 3cos^4(x)sin(x)

\int 3 cos^{4} (x) sin (x) d x

Frequently Asked Questions (FAQ)

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