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Popular >

integral of 2xy+1

Solution

\int 2 x y + 1 d x

Solution

x + y x^{2} + C

Solution steps

\int 2 x y + 1 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 1 d x + \int 2 y x d x

\int 1 d x = x

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

= x + y x^{2}

Add a constant to the solution

= x + y x^{2} + C

Popular Examples

integral of 1/(z^2(z^2+1))

\int \frac{1}{z ^{2} ( z ^{2} + 1 )} d z

integral of 1/(7x-5)

\int \frac{1}{7 x - 5} d x

integral of x(5-x)

\int x (5 - x) d x

integral of xe^{-3x}cos(2x)

\int x e^{- 3 x} cos (2 x) d x

integral of x/(sqrt(4x-3-x^2))

\int \frac{x}{4 x - 3 - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 2xy+1 ?
The integral of 2xy+1 is x+yx^2+C