1 / | | tan(4*x) dx | / 0
Integral(tan(4*x), (x, 0, 1))
Rewrite the integrand:
There are multiple ways to do this integral.
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:
Let .
Then let and substitute :
The integral of a constant times a function is the constant times the integral of the function:
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:
Now substitute back in:
Add the constant of integration:
The answer is:
/ | log(cos(4*x)) | tan(4*x) dx = C - ------------- | 4 /
log(-cos(4)) pi*I - ------------ - ---- 4 4
=
log(-cos(4)) pi*I - ------------ - ---- 4 4
-log(-cos(4))/4 - pi*i/4
Use the examples entering the upper and lower limits of integration.