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Integrate the functions: 2x1+x2 - Mathematics

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प्रश्न

Integrate the functions:

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

योग

उत्तर

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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अध्याय 7: Integrals - Exercise 7.2 [पृष्ठ ३०४]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 12
अध्याय 7 Integrals
Exercise 7.2 | Q 1 | पृष्ठ ३०४

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