5b5e333eb93f94f518b6fb0fb7d9f858
2021.21
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5b5e333eb93f94f518b6fb0fb7d9f858
द्विपद प्रमेय की सहायता से `((2)/(x)-(x)/(2))^(5)` का प्रसार कीजिए ।
द्विपद प्रमेय की सहायता से `((2)/(x)-(x)/(2))^(5)` का प्रसार कीजिए ।
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2021.21




solution: `((2)/(x)-(x)/(2))^(5)=[(2)/(x)+(-(x)/(2))]^(5)`   
 `= ((2)/(x))^(5)+5((2)/(x))^(4).(-(x)/(2))+10((2)/(x))^(3).(-(x)/(2))^(2)+10((2)/(x))^(2)(-(x)/(2))^(3)+5((2)/(x))(-(x)/(2))^(4)+(-(x)/(2))^(5)`   
 `=(32)/(x^(5))-(40)/(x^(3))+(20)/(x)-5x+(5x^(3))/(8)-(x^(5))/(32)`.
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7d9b7471ef4e806726ccbd60987d4bff
2021.39
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7d9b7471ef4e806726ccbd60987d4bff
solve `x^((log)\_y x)=2a n dy^((log)\_x y)=16`
solve `x^((log)\_y x)=2a n dy^((log)\_x y)=16`
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2021.39
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531798dd8b3cdb6b03df7086f9d46bae
2021.31
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531798dd8b3cdb6b03df7086f9d46bae
`(1)/(2)+(3)/(4)+(9)/(8)+(27)/(16)+... oo`
`(1)/(2)+(3)/(4)+(9)/(8)+(27)/(16)+... oo`
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2021.31
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056f0d4bb703f52d57ace135be5af973
2021.39
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056f0d4bb703f52d57ace135be5af973
`int(e^(ln x))/(1+x^(2))dx`
`int(e^(ln x))/(1+x^(2))dx`
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2021.39
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ba4e368e74aa779ce299a8251a630385
2021.21
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ba4e368e74aa779ce299a8251a630385
`sin(n+1)x sin(n+2)x+ cos (n+1)x cos (n+2)x=cos x`
`sin(n+1)x sin(n+2)x+ cos (n+1)x cos (n+2)x=cos x`
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2021.21
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