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Evaluate the definite integral: ∫01dx1+x2 - Mathematics

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Question

Evaluate the definite integral:

`int_0^1 dx/(1+x^2)`

Sum

Solution

`int_0^1  dx/(1 + x^2)`

`= [tan^-1 x]_0^1`

`= tan^-1 (1) - tan^-1 0`

`= pi/4 - 0`

`= pi/4`

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Chapter 7: Integrals - Exercise 7.9 [Page 338]

APPEARS IN

NCERT Mathematics [English] Class 12
Chapter 7 Integrals
Exercise 7.9 | Q 10 | Page 338
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