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Popular >

integral of 2xy+2x

Solution

\int 2 x y + 2 x d x

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

limit as t approaches 0 of (1-e^{-2t})/t

t \to 0 lim (\frac{1 - e ^{- 2 t}}{t})

f (t) = sin^{2} (t)

limit as x approaches 3 of (x^2+x)/(x+3)

x \to 3 lim (\frac{x ^{2} + x}{x + 3})

integral of (13)/(x^2-1)

\int \frac{13}{x ^{2} - 1} d x

limit as x approaches 0 of xe^{-x}

x \to 0 lim (x e^{- x})

Frequently Asked Questions (FAQ)

What is the integral of 2xy+2x ?
The integral of 2xy+2x is x^2+yx^2+C