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Popular Calculus >

integral of (2x+2y)

Solution

\int (2 x + 2 y) d y

Solution

2 x y + y^{2} + C

Solution steps

\int 2 x + 2 y d y

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 y + \int 2 y d y

\int 2 x d y = 2 x y

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

= 2 x y + y^{2}

Add a constant to the solution

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

Graph

Popular Examples

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

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\int_{- 6}^{4} ∣ x ∣ d x

limit as t approaches 1 of (t-1)/(t^2-1)

t \to 1 lim (\frac{t - 1}{t ^{2} - 1})

derivative of (x^3)/3

d er i v a t i v e \frac{x ^{3}}{3}

integral of cos((5x)/3)

\int cos (\frac{5 x}{3}) d x

Frequently Asked Questions (FAQ)

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