0 / | | 1 | ----------- dx | _________ | \/ 3*x + 4 | / -1
Integral(1/(sqrt(3*x + 4)), (x, -1, 0))
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 a constant is the constant times the variable of integration:
So, the result is:
Now substitute back in:
Now simplify:
Add the constant of integration:
The answer is:
/ | _________ | 1 2*\/ 3*x + 4 | ----------- dx = C + ------------- | _________ 3 | \/ 3*x + 4 | /
Use the examples entering the upper and lower limits of integration.