1 / | | / 2 2\ | \x + x*y / dx | / 0
Integral(x^2 + x*y^2, (x, 0, 1))
Integrate term-by-term:
The integral of is when :
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:
Now simplify:
Add the constant of integration:
The answer is:
/ | 3 2 2 | / 2 2\ x x *y | \x + x*y / dx = C + -- + ----- | 3 2 /
2 1 y - + -- 3 2
=
2 1 y - + -- 3 2
1/3 + y^2/2
Use the examples entering the upper and lower limits of integration.