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Evaluate the definite integral: ∫23xdxx2+1 - Mathematics

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Question

Evaluate the definite integral:

`int_2^3 (xdx)/(x^2 + 1)`

Sum

Solution

`int_2^3  (x  dx)/(x^2 + 1)`

`= 1/2 int_2^3 (2x)/(x^2 + 1)  dx`

`= 1/2 [log (x^2 + 1)]_2^3`

`= 1/2 [log 10 - log 5]`

`= 1/2  log 2`

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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 13 | Page 338
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