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Integrate abc(2ax-bx2+3cx23) w.r.t. x

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प्रश्न

Integrate `((2"a")/sqrt(x) - "b"/x^2 + 3"c"root(3)(x^2))` w.r.t. x

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उत्तर

`int((2"a")/sqrt(x) - "b"/x^2 + 3"c"root(3)(x^2)) "d"x`

= `int 2"a"(x)^((-1)/2) "d"x - int "b"x^-2 "d"x + int 3"c" x^(2/3) "d"x`

= `4"a" sqrt(x) + "b"/x + (9"c"x^(5/3))/5 + "C"`.

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अध्याय 7: Integrals - Solved Examples [पृष्ठ १४६]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 12
अध्याय 7 Integrals
Solved Examples | Q 1 | पृष्ठ १४६

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