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Popular >

integral of (2x+y)

Solution

\int (2 x + y) d x

Solution

y x + x^{2} + C

Solution steps

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

\int y d x = y x

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

= y x + x^{2}

Add a constant to the solution

= y x + x^{2} + C

Popular Examples

f(x)=arctan(x^4)

f (x) = arctan (x^{4})

integral of 3/(x^2+1)

\int \frac{3}{x ^{2} + 1} d x

integral of sec^4(3x)tan^4(3x)

\int sec^{4} (3 x) tan^{4} (3 x) d x

y^'+7/(x+3)y=(x+3)^3

y^{^{'}} + \frac{7}{x + 3} y = (x + 3)^{3}

(dy}{dx}=\frac{y+3)/x

\frac{d y}{d x} = \frac{y + 3}{x}

Frequently Asked Questions (FAQ)

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