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