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int_(2)^(3) (x dx)/(x^(2)+1) |
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Answer» SOLUTION :`"Let I "=int_(2)^(3)(x)/(x^(2)+1)dx` `underset(rArr""2x dx=DT rArr x dx=(dt)/(2))(" Let " x^(2)+1=t)` x=2 then t =5 and x=3 then t=0 `I=(1)/(2)int_(0)^(10) (1)/(t) dt=(1)/(2)[log |t|]_(5)^(10)` `=(1)/(2)[log |10log |5|]` `=(1)/(2)log|(10)/(5)|=(1)/(2)log 2` |
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