1 / | | 1 | ----------- dx | _________ | \/ 2*x + 1 | / 0
Integral(1/(sqrt(2*x + 1)), (x, 0, 1))
Let .
Then let and substitute :
The integral of a constant is the constant times the variable of integration:
Now substitute back in:
Now simplify:
Add the constant of integration:
The answer is:
/ | | 1 _________ | ----------- dx = C + \/ 2*x + 1 | _________ | \/ 2*x + 1 | /
Use the examples entering the upper and lower limits of integration.