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Solving integrals/ x^2+y^2

Integral of x^2+y^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |  / 2    2\   
 |  \x  + y / dx
 |              
/               
0
$$\int\limits_{0}^{1} \left(x^{2} + y^{2}\right)\, dx$$ 
Integral(x^2 + y^2, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    1. The integral of is when :

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                            
 |                     3       
 | / 2    2\          x       2
 | \x  + y / dx = C + -- + x*y 
 |                    3        
/
$$x\,y^2+{{x^3}\over{3}}$$
Simplify
The answer [src] 
1    2
- + y 
3
$${{3\,y^2+1}\over{3}}$$ 
=
= 
1    2
- + y 
3
$$y^{2} + \frac{1}{3}$$
Simplify

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

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