Question

$\int_{0}^{2} \frac{dx}{\sqrt{2+x} + \sqrt{2-x}} =$

• A. 0
• B. $5 - \sqrt{2} - \sqrt{3}$
• C. $5 + \sqrt{2} + \sqrt{3}$
• D. $\sqrt{2} + \sqrt{3} + \sqrt{5}$

Hint:

Rationalization is the first line of defense for integrals containing sums of square roots in the denominator.

Answer 1

The Correct Option is B