Correct answer: A. 2 (x+ x 2 )+ c , where c is a constant of integration. aligned & Put x+ x 2 = t & [1+ ( x 2 ) 1 2 ] d x= dt & (2+ x 2 ) d x=2 dt aligned 2+ x 2 x+ x 2 ~d x=2 dt t aligned & =2 |t|+c & =2 |x+ x 2 |+c aligned

MHT CET202313 May 2023Evening ShiftMathematicsIndefinite IntegrationActual

2+ x 2 x+ x 2 ~d x=

Options

A2 (x+ x 2 )+ c , where c is a constant of integration.
B1 2 (x+ x 2 )+ c , where c is a constant of integration.
C4 (x+ x 2 )+c , where c is a constant of integration.
D(x+ x 2 )+c , where c is a constant of integration.

Correct answer

A. 2 (x+ x 2 )+ c , where c is a constant of integration.

Step-by-step solution

aligned & Put x+ x 2 = t & [1+ ( x 2 ) 1 2 ] d x= dt & (2+ x 2 ) d x=2 dt aligned 2+ x 2 x+ x 2 ~d x=2 dt t aligned & =2 |t|+c & =2 |x+ x 2 |+c aligned

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