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Evaluate abcd∫3axb2+c2x2dx - Mathematics

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प्रश्न

Evaluate `int (3"a"x)/("b"^2 + "c"^2x^2) "d"x`

योग

उत्तर

Let v = b2 + c2x2, then dv = 2c2 xdx

Therefore, `int (3"a"x)/("b"^2 + "c"^2x^2) "d"x`

= `(3"a")/(2"c"^2) int "dv"/"v"`

= `(3"a")/("c"^2) log |"b"^2 + "c"^2x^2| + "C"`

shaalaa.com
Definite Integrals
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
Q 2
अध्याय 7: Integrals - Solved Examples [पृष्ठ १४७]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 7 Integrals
Solved Examples | Q 2 | पृष्ठ १४७

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