Mister Exam

Integral of 2-y dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1           
  /           
 |            
 |  (2 - y) dy
 |            
/             
0             
$$\int\limits_{0}^{1} \left(2 - y\right)\, dy$$
Integral(2 - y, (y, 0, 1))
Detail solution
  1. Integrate term-by-term:

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

    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:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                        2
 |                        y 
 | (2 - y) dy = C + 2*y - --
 |                        2 
/                           
$$\int \left(2 - y\right)\, dy = C - \frac{y^{2}}{2} + 2 y$$
The graph
The answer [src]
3/2
$$\frac{3}{2}$$
=
=
3/2
$$\frac{3}{2}$$
3/2
Numerical answer [src]
1.5
1.5
The graph
Integral of 2-y dx

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