Discussion Forum : Indefinite Integration
Question -


ex[x3+x+1(1+x2)3/2]dx is equal to

Options:
A .   x2ex(1+x2)1/2+c
B .   exx(1+x2)1/2+c
C .   ex(1+x2)1/2+c
D .   xex(1+x2)1/2+c
Answer: Option D
:
D

I=ex[x1+x2+1(1+x2)3/2]dx
Let f(x)=x1+x2f(x)=1+x2x21+x2(1+x2)
=1(1+x2)3/2
I=exf(x)+c
=exx1+x2+c



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