Evaluate ∫[2 to 3] (√x)/(√(5 - x) + √x) dx.

Evaluate ∫[2 to 3] (√x)/(√(5 - x) + √x) dx.

• A. 5/2
• B. 1/2
• C. 1
• D. 2

Answer: B) 1/2

Explanation: Using the property ∫[a to b] f(x) dx = ∫[a to b] f(a+b-x) dx, let I be the integral. Replace x with 2+3-x = 5-x. Adding the two forms gives 2I = ∫[2 to 3] 1 dx = 1. Therefore, I = 1/2.