Statement -1 : If `I_(1)=int(e^(x))/(e^(4x)+e^(2x)+1)dx` and
`I_(2)=int(e^(-x))/(e^(-4x)+e^(-2x)+1)dx`, then
`I_(2)-I_(1)=(1)/(2)log((e^(2x)-e^(x)+1)/(e^(2x)+e^(x)+1))+C`
where C is an arbitrary constant.
Statement -2 : A primitive of f(x) `=(x^(2)-1)/(x^(4)+x^(2)+1)` is
`(1)/(2)log((x^(2)-x+1)/(x^(2)+x+1))`.

Options

A. Statement - 1 True ,
Statement -2 is True , Statement -2 is a correct
explanation for Statement -1.
B. Statement - 1 is True ,
Statement -2 is True , Statement -2 is a correct
explanation for Statement -1.
C. Statement - 1 True ,Statement - 2 is False.
D. Statement - 1 is False , Statement - 2 is True.

Explanation

To solve the problem, we need to evaluate the two statements provided and verify their correctness step by step.

### Step 1: Evaluate Statement 2

We start with the integral given in Statement 2:

\[
I = \int \frac{x^2 - 1}{x^4 + x^2 + 1} \, dx
...