Indefinite IntegrationHard

Question

If y = and y = 0 when x = 0, then value of y when x = 1, is:

Options

A.
B.√2
C.3√2
D.

Solution

y =     put 1 + = t2 ⇒ - dx = 2t dt
⇒  y =
∵ y (0) = 0  ⇒    C = 0
∴ y(1) =

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