2 x / | | (x + 2*y) dx | / x
Integral(x + 2*y, (x, x, x^2))
Integrate term-by-term:
The integral of is when :
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 | x | (x + 2*y) dx = C + -- + 2*x*y | 2 /
4 2 x x 2 -- - -- - 2*x*y + 2*y*x 2 2
=
4 2 x x 2 -- - -- - 2*x*y + 2*y*x 2 2
x^4/2 - x^2/2 - 2*x*y + 2*y*x^2
Use the examples entering the upper and lower limits of integration.