Mister Exam

Integral of (x+y) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1           
  /           
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 |  (x + y) dx
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0             
$$\int\limits_{0}^{1} \left(x + y\right)\, dx$$
Integral(x + y, (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]
  /                  2      
 |                  x       
 | (x + y) dx = C + -- + x*y
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/                           
$$\int \left(x + y\right)\, dx = C + \frac{x^{2}}{2} + x y$$
The answer [src]
1/2 + y
$$y + \frac{1}{2}$$
=
=
1/2 + y
$$y + \frac{1}{2}$$
1/2 + y

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