1
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83

Let $\int \frac{d x}{\sqrt{x+1}-\sqrt{x-1}}=\alpha(x+1)^{\frac{3}{2}}+$ $$ \beta(x-1)^{\frac{3}{2}}+c $$

What is the value of $\alpha$?

A

$\frac{1}{3}$

B

$\frac{2}{3}$

C

$1$

D

$\frac{4}{3}$

2
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83

Let $\int \frac{d x}{\sqrt{x+1}-\sqrt{x-1}}=\alpha(x+1)^{\frac{3}{2}}+$ $$ \beta(x-1)^{\frac{3}{2}}+c $$

What is the value of $\beta$?

A

$-\frac{2}{3}$

B

$-\frac{1}{3}$

C

$\frac{1}{3}$

D

$\frac{2}{3}$

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