5 / | | 12*tan(x) dx | / 3
Integral(12*tan(x), (x, 3, 5))
The integral of a constant times a function is the constant times the integral of the function:
Rewrite the integrand:
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:
So, the result is:
Add the constant of integration:
The answer is:
/ | | 12*tan(x) dx = C - 12*log(cos(x)) | /
Use the examples entering the upper and lower limits of integration.