THE GATEBOOK

Normalization Lectures

A.

B.

C.

D.

ANS B.

Let e^x * x= t

Therefore e^x*1+ e^x*x dx = dt

therefore e^x (1+x) dx= dt

Therefore given integration becomes-

Integration ( dt / cos ^2 t)= interation ( sec^2t dt) = tan(t) +C where t= e^x * x

So = tan(e^x *x) +C