z / | | / 2\ | 3*\x + 2*y / | ------------ dz | 4 | / 1
Integral((3*(x + 2*y^2))/4, (z, 1, z))
The integral of a constant is the constant times the variable of integration:
Add the constant of integration:
The answer is:
/ | | / 2\ / 2\ | 3*\x + 2*y / 3*z*\x + 2*y / | ------------ dz = C + -------------- | 4 4 | /
2 / 2 \ 3*y 3*x |3*y 3*x| - ---- - --- + z*|---- + ---| 2 4 \ 2 4 /
=
2 / 2 \ 3*y 3*x |3*y 3*x| - ---- - --- + z*|---- + ---| 2 4 \ 2 4 /
-3*y^2/2 - 3*x/4 + z*(3*y^2/2 + 3*x/4)
Use the examples entering the upper and lower limits of integration.