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Calculus Calculator

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1

Here, we show you a step-by-step solved example of calculus. This solution was automatically generated by our smart calculator:

$\int2x\cdot ydx$
2

The integral of a function times a constant ($2$) is equal to the constant times the integral of the function

$2\int xydx$
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The integral of a function times a constant ($y$) is equal to the constant times the integral of the function

$2y\int xdx$
4

Applying the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a number or constant function, in this case $n=1$

$1yx^2$
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Any expression multiplied by $1$ is equal to itself

$yx^2$
6

As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$

$yx^2+C_0$

Final answer to the problem

$yx^2+C_0$

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