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Popular >

integral of 4xy+3x^2

Solution

\int 4 x y + 3 x^{2} d x

Solution

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

Solution steps

\int 4 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 4 y x d x

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

\int 4 y x d x = 2 y x^{2}

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

Add a constant to the solution

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

Graph

Popular Examples

integral of x^2(x^3+4)^2

\int x^{2} (x^{3} + 4)^{2} d x

integral of (x^4-8)/(x^2)

\int \frac{x ^{4} - 8}{x ^{2}} d x

integral of (2x+3)/(3x+2)

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

integral of x/2 cos^2(x)

\int \frac{x}{2} cos^{2} (x) d x

integral of cos(2/(3x))

\int cos (\frac{2}{3 x}) d x

Frequently Asked Questions (FAQ)

What is the integral of 4xy+3x^2 ?
The integral of 4xy+3x^2 is x^3+2yx^2+C