0 / | | sin(x) | ------------ dx | 1 + 3*cos(x) | / 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 is .
So, the result is:
Now substitute back in:
Add the constant of integration:
The answer is:
/ | | sin(x) log(1 + 3*cos(x)) | ------------ dx = C - ----------------- | 1 + 3*cos(x) 3 | /
Use the examples entering the upper and lower limits of integration.