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Integrate the functions: x2(2+3x3)3 - Mathematics

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प्रश्न

Integrate the functions:

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

योग
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उत्तर

Let `I = int x^2/(2 + 3x^3)^3` dx

Put 2 + 3x3 = t 

9x2 dx = dt

or  x2 dx `= 1/9` dt

∴ `I = 1/9 int dt/t^3 = 1/9 int t^-3 dt`

`= 1/9  t^-2/(-2) + C = -1/18 t^-2 + C`

`= -1/ (18(2 + 3x^3)^2) + C`

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Integrals - Exercise 7.2 [पृष्ठ ३०४]

APPEARS IN

एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 7 Integrals
Exercise 7.2 | Q 13 | पृष्ठ ३०४

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