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x^2+4y
Identical expressions
x^ two +4y
x squared plus 4y
x to the power of two plus 4y
x2+4y
x²+4y
x to the power of 2+4y
x^2+4ydx
Similar expressions
x^2-4y

Integral of x^2+4y dx

The solution

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 |  \x  + 4*y/ dx
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0

$$\int\limits_{0}^{1} \left(x^{2} + 4 y\right)\, dx$$

Integral(x^2 + 4*y, (x, 0, 1))

Detail solution

Integrate term-by-term:
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{2}\, dx = \frac{x^{3}}{3}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 4 y\, dx = 4 x y$
The result is: $\frac{x^{3}}{3} + 4 x y$
Now simplify:

$\frac{x \left(x^{2} + 12 y\right)}{3}$
Add the constant of integration:

$\frac{x \left(x^{2} + 12 y\right)}{3}+ \mathrm{constant}$

The answer is:

$\frac{x \left(x^{2} + 12 y\right)}{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                              
 |                      3        
 | / 2      \          x         
 | \x  + 4*y/ dx = C + -- + 4*x*y
 |                     3         
/

$$\int \left(x^{2} + 4 y\right)\, dx = C + \frac{x^{3}}{3} + 4 x y$$

Simplify

The answer [src]

1/3 + 4*y

$$4 y + \frac{1}{3}$$

1/3 + 4*y

$$4 y + \frac{1}{3}$$

1/3 + 4*y

Use the examples entering the upper and lower limits of integration.

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Integral of x^2+4y dx

Limits of integration:

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The solution