If where a,b,c are rationals then 3a-3b+c=

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Solution

Q.
If $\int_{0}^{1} \frac{1}{\sqrt{2 + x} + \sqrt{1 + x}} d x = a + b \sqrt{2} + c \sqrt{3}$ where $a, b, c$ are rationals then $3 a - 3 b + c =$

1 10

2 12

3 14

4 16

Ans.
(2)

$\int_{0}^{1} (\sqrt{2 + x} - \sqrt{1 + x}) d x$

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