Let ∫ dx/(√(x+1) - √(x-1)) = α(x+1)^(3/2) + β(x-1)^(3/2) + c. What is the value of β?

1. A.-2/3
2. B.-1/3
3. C.1/3✓ Correct
4. D.2/3

More Integration questions

• → Given that ∫(3 cos x + 4 sin x)/(2 cos x + 5 sin x) dx = (αx)/29 + (β/29) ln|2 cos x + 5 sin x| + c. What is t…
• → Let ∫ dx/(√(x+1) - √(x-1)) = α(x+1)^(3/2) + β(x-1)^(3/2) + c. What is the value of α?
• → Let the function y = (1 − cos x)^(−1), where x ≠ 2nπ and n is an integer. What is ∫ y dx equal to?