Question

Let f : [1, 2] → $\R$ be the function defined by
$f(t)=\int^t_1\sqrt{x^2e^{x^2}-1}\ dx.$
Then the arc length of the graph of f over the interval [1, 2] equals

• A. $e^2-\sqrt{e}$
• B. $e-\sqrt{e}$
• C. e2 - e
• D. e2 - 1

Answer 1

Answer: (A)

$e^2-\sqrt{e}$

Answer 2

The correct option is (A) : $e^2-\sqrt{e}$.