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Integrate the functions: 2x1+x2

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Question

Integrate the functions:

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

Sum
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Solution

Let I `= int (2x)/(1 + x^2)`

Taking = 1 + x2 

2x dx = dt

∴ `I  = int (2x)/(1 + x^2)  dx int 1/t dt`

I = log t + C = log (1 + x2) + C

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Chapter 7: Integrals - Exercise 7.2 [Page 304]

APPEARS IN

NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 7 Integrals
Exercise 7.2 | Q 1 | Page 304

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