MHT CET202211 Aug 2022Morning ShiftMathematicsIndefinite IntegrationActual
(x+ 1+x^2 ) 1+x^2 ~d x= 1 2 (g(x))^2+C , (where C is constant of integration.) Then g(x)=
Options
- A(x+ 1+x^2 )
- B(x+ 1+2 x^2 )
- C(x- 1+x^2 )
- D( 1+x^2 )
Correct answer
A. (x+ 1+x^2 )
Step-by-step solution
(x+ 1+x^2 ) 1+x^2 ~d x= t ~d t= t^2 2 +C [where t= (x+ 1+x^2 ) ] aligned & = (x+ 1+x^2 ) ^2 2 +C & g(x)= (x+ 1+x^2 )^2 aligned