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Integrate the functions: 1x+xlogx - Mathematics

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प्रश्न

Integrate the functions:

`1/(x + x log x)`

योग

उत्तर

Let I `= int 1/(x + x log x)` dx

or I `= int 1/(x (1+ log x)` dx

Put 1 + log x = t 

`1/x` dx = dt

Hence, I `= int 1/t` dt

= log t + C

= log (1 + log x) + 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 3 | पृष्ठ ३०४

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