3 / | | _________ | \/ 3*x - 1 dx | / 0
Integral(sqrt(3*x - 1), (x, 0, 3))
Let .
Then let and substitute :
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:
Now substitute back in:
Now simplify:
Add the constant of integration:
The answer is:
/ | 3/2 | _________ 2*(3*x - 1) | \/ 3*x - 1 dx = C + -------------- | 9 /
___ 2*I 32*\/ 2 --- + -------- 9 9
=
___ 2*I 32*\/ 2 --- + -------- 9 9
2*i/9 + 32*sqrt(2)/9
(5.02811796336524 + 0.222582701002079j)
(5.02811796336524 + 0.222582701002079j)
Use the examples entering the upper and lower limits of integration.