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Solving integrals/ (x+y)*dx-y

Integral of (x+y)*dx-y dy

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  1. Integrate term-by-term:

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

    1. Integrate term-by-term:

      1. Don't know the steps in finding this integral.

        But the integral is

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

      The result is:

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                      2
 |                      x 
 | (x + y - y) dx = C + --
 |                      2 
/
$$\int \left(- y + \left(x + y\right)\right)\, dx = C + \frac{x^{2}}{2}$$
Simplify
The answer [src] 
1/2
$$\frac{1}{2}$$ 
=
= 
1/2
$$\frac{1}{2}$$ 
1/2
Numerical answer [src] 
0.5
0.5

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

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