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Popular >

integral of 2xy+3x^2

Solution

\int 2 x y + 3 x^{2} d x

Solution

x^{3} + y x^{2} + C

Solution steps

\int 2 x y + 3 x^{2} 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 3 x^{2} d x + \int 2 y x d x

\int 3 x^{2} d x = x^{3}

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

= x^{3} + y x^{2}

Add a constant to the solution

= x^{3} + y x^{2} + C

Popular Examples

integral from 0 to 2 of (2x-1)

\int_{0}^{2} (2 x - 1) d x

integral of x/(\sqrt[3]{2-4x^2)}

integral of arctan(ax)

\int arctan (a x) d x

limit as x approaches 3 of 5^2

x \to 3 lim (5^{2})

area y=x^2+2,y=x+14 area

y = x^{2} + 2, y = x + 14

Frequently Asked Questions (FAQ)

What is the integral of 2xy+3x^2 ?
The integral of 2xy+3x^2 is x^3+yx^2+C