2 y / | | / 2\ | \2*x + y / dx | / 3 y
Integral(2*x + y^2, (x, y^3, y^2))
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 2 | \2*x + y / dx = C + x + x*y | /
5 6 4 - y - y + 2*y
=
5 6 4 - y - y + 2*y
-y^5 - y^6 + 2*y^4
Use the examples entering the upper and lower limits of integration.