Indefinite IntegrationHard

Question

If = a ln (1 + x2) + btan-1x + ln | x + 2 | + C then -

Options

A.a = - , b = -
B.a = , b = -
C.a = - 1 , b =
D.a = , b =

Solution

Let
On solving it we get A = - , B = , C =
∴  dx
= ln (x2 + 1) + tan-1 x +ln | x + 2 | + K

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