Question

The value of $\int_{0}^{4} \sqrt{\frac{4-x}{4+x}} dx$ is:

• A. $4(\pi - 2)$
• B. $2(\pi - 2)$
• C. $4(\pi + 2)$
• D. $2(\pi + 2)$

Hint:

For integrals involving $\sqrt{\frac{a-x}{a+x}}$, rationalizing the numerator or using $x = a \cos \theta$ are effective strategies.

Answer 1

The Correct Option is B