1 / | | _________ | \/ 6*x - 1 dx | / 0
Integral(sqrt(6*x - 1), (x, 0, 1))
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 | _________ (6*x - 1) | \/ 6*x - 1 dx = C + ------------ | 9 /
___ I 5*\/ 5 - + ------- 9 9
=
___ I 5*\/ 5 - + ------- 9 9
i/9 + 5*sqrt(5)/9
(1.24236102619322 + 0.111210057208727j)
(1.24236102619322 + 0.111210057208727j)
Use the examples entering the upper and lower limits of integration.