Q.

Integration of f(x)=1+x2 with respect to x2, is

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a

231+x23/2x+C

b

231+x23/2+C

c

2x31+x23/2+C

d

none of these

answer is B.

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Detailed Solution

LetI=∫f(x)dx2=∫1+x2dx2⇒ I=∫1+x2d1+x2 ∵dx2=d1+x2⇒ I=231+x23/2+C
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