pi -- 4 / | | / 2 2 \ | \tan (x) - cot (x)/ dx | / pi -- 6
Integral(tan(x)^2 - cot(x)^2, (x, pi/6, pi/4))
Integrate term-by-term:
Rewrite the integrand:
Integrate term-by-term:
The integral of a constant is the constant times the variable of integration:
The result is:
The integral of a constant times a function is the constant times the integral of the function:
Don't know the steps in finding this integral.
But the integral is
So, the result is:
The result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | | / 2 2 \ cos(x) | \tan (x) - cot (x)/ dx = C + ------ + tan(x) | sin(x) /
___ 4*\/ 3 2 - ------- 3
=
___ 4*\/ 3 2 - ------- 3
2 - 4*sqrt(3)/3
Use the examples entering the upper and lower limits of integration.