Q38 of 261 Page 811

Evaluate the following integrals


Let

Using integration by parts, we get





Let tan-1x=t


⇒ .


When x=0, t=0 and when x=1, .


Hence




Let 1+x2=y


⇒ 2xdx=dy.


Also, when x=0, y=1


and when x=1, y=2.




.


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