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प्रश्न
`int ("e"^(7logx) - "e"^(6logx))/("e"^(5logx) - "e"^(4logx)) "d"x` = ______.
पर्याय
`x^3/3 + "c"`
`1/x + "c"`
`x^3log x + "c"`
`3/x^3 + "c"`
MCQ
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उत्तर
`int ("e"^(lox) - "e"^(6logx))/("e"^(5logx) - "e"^(4logx)) "d"x` = `x^3/3 + "c"`.
Explanation:
`int ("e"^(7logx) - "e"^(6logx))/("e"^(5logx) - "e"^(4logx)) "d"x = int (x^7 - x^6)/(x^5 - x^4) "d"x`
= `int (x^6(x - 1))/(x^4(x - 1)) "d"x`
= `int x^2 "d"x`
= `x^3/3 + "c"`
shaalaa.com
Algebra of Integration and Standard Results
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