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Evaluate the definite integralsint0^1 (...

Evaluate the definite integrals`int_0^1 (dx)/(1-x^2)`

A

`pi/4`

B

`pi/2`

C

`pi/3`

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
`I=int_0^1 (dx)/(1+x^2)`
=>`int(dx)/(1+x^2)=tan^(-1)x=F(x)`
By second fundamental theorem of calculus, we obtain
`I=F(1)-F(0)`
...
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