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If f((t+1)/(2t+1))=t+1, then int f (x)dx...

If `f((t+1)/(2t+1))=t+1,` then `int f (x)dx=`

A

`(x^(2))/(2)+c`

B

`"log"_(e)(2x=-1)+(1)/(2)"log"_(e)|(x+1)|+c`

C

`(1)/(2) log_(e)|((x+1)/(2x+1))|+c`

D

`(x)/(2)+(1)/(4) log_(e)|2x-1|+c`

Text Solution

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The correct Answer is:
D
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