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Integral of y(1+x^2) dy

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
 3*x             
  /              
 |               
 |    /     2\   
 |  y*\1 + x / dy
 |               
/                
3*x              
$$\int\limits_{3 x}^{3 x} y \left(x^{2} + 1\right)\, dy$$
Integral(y*(1 + x^2), (y, 3*x, 3*x))
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

    1. The integral of is when :

    So, the result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                               
 |                      2 /     2\
 |   /     2\          y *\1 + x /
 | y*\1 + x / dy = C + -----------
 |                          2     
/                                 
$$\int y \left(x^{2} + 1\right)\, dy = C + \frac{y^{2} \left(x^{2} + 1\right)}{2}$$
The answer [src]
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Numerical answer [src]
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    Use the examples entering the upper and lower limits of integration.