1 / | | 1 | (1 + tan(x))*----------*1 dx | 1 - tan(x) | / 0
Integral((1 + tan(x))*1/(1 - tan(x)), (x, 0, 1))
There are multiple ways to do this integral.
Rewrite the integrand:
Rewrite the integrand:
Integrate term-by-term:
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 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:
Rewrite the integrand:
Integrate term-by-term:
Rewrite the integrand:
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:
Rewrite the integrand:
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 \ | 1 log\1 + tan (x)/ | (1 + tan(x))*----------*1 dx = C + ---------------- - log(-1 + tan(x)) | 1 - tan(x) 2 | /
Use the examples entering the upper and lower limits of integration.