1 / | | / 2 \ | \x + 3*x*y/*d*y dx | / d
Integral((x^2 + 3*x*y)*d*y, (x, d, 1))
The integral of a constant times a function is the constant times the integral of the function:
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:
So, the result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | / 3 2\ | / 2 \ |x 3*y*x | | \x + 3*x*y/*d*y dx = C + d*y*|-- + ------| | \3 2 / /
3 2 4 2 3*d *y y*d d*y 3*d*y - ------- - ---- + --- + ------ 2 3 3 2
=
3 2 4 2 3*d *y y*d d*y 3*d*y - ------- - ---- + --- + ------ 2 3 3 2
Use the examples entering the upper and lower limits of integration.