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Find the integrals of the function: sin3x+cos3xsin2xcos2x

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प्रश्न

Find the integrals of the function:

`(sin^3 x + cos^3 x)/(sin^2x cos^2 x)`

योग
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उत्तर

`int (sin^3 x + cos^3 x)/(sin^2 x cos^2 x)  "dx"`

`= int sin^3x/(sin^2 x cos^2 x) + cos^3/ (sin^2 x cos^2 x) dx`

`= int (sec x tan x + cosec x cot x) dx`

= sec x - cosec x + C

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अध्याय 7: Integrals - Exercise 7.3 [पृष्ठ ३०७]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 7 Integrals
Exercise 7.3 | Q 17 | पृष्ठ ३०७

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