4 - y / | | (2*x - 2*y) dx | / 1
Integral(2*x - 2*y, (x, 1, 4 - y))
Integrate term-by-term:
The integral of a constant times a function is the constant times the integral of the function:
The integral of is when :
So, the result is:
The integral of a constant is the constant times the variable of integration:
The result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | 2 | (2*x - 2*y) dx = C + x - 2*x*y | /
2 -1 + (4 - y) + 2*y - 2*y*(4 - y)
=
2 -1 + (4 - y) + 2*y - 2*y*(4 - y)
-1 + (4 - y)^2 + 2*y - 2*y*(4 - y)
Use the examples entering the upper and lower limits of integration.