1 / | | sin(x) | ---------- dx | cos(x) + 2 | / 0
Integral(sin(x)/(cos(x) + 2), (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 .
So, the result is:
Now substitute back in:
Now simplify:
Add the constant of integration:
The answer is:
/ | | sin(x) | ---------- dx = C - log(cos(x) + 2) | cos(x) + 2 | /
-log(2 + cos(1)) + log(3)
=
-log(2 + cos(1)) + log(3)
-log(2 + cos(1)) + log(3)
Use the examples entering the upper and lower limits of integration.