2 / | | x + 2*y | ------- dy | 12 | / 0
Integral((x + 2*y)/12, (y, 0, 2))
The integral of a constant times a function is the constant times the integral of the function:
Integrate term-by-term:
The integral of a constant is the constant times the variable of integration:
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 result is:
So, the result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | 2 | x + 2*y y x*y | ------- dy = C + -- + --- | 12 12 12 | /
1 x - + - 3 6
=
1 x - + - 3 6
1/3 + x/6
Use the examples entering the upper and lower limits of integration.