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This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
`(cosx)/(sqrt(1+sinx))` का समाकलन कीजिए - |
| Answer» Correct Answer - `2sqrt(1+sinx)+c` | |
| 2. |
`sin^(5)x` फलनो का x के सापेक्ष समाकलन कीजिये । |
| Answer» Correct Answer - `(2)/(21)(7-3sin^(2)x)sin^(3//2)x` | |
| 3. |
`(e^(2x)-e^(-2x))/(e^(2x) + e^(-2x))` का समाकलन कीजिए - |
| Answer» Correct Answer - `-(1)/(4)tan(7-4x)+c` | |
| 4. |
`(x^(5))/(sqrt(1+x^(3)))` फलनो का x के सापेक्ष समाकलन कीजिये । |
| Answer» Correct Answer - `(2)/(9)(x^(3) - 2)sqrt(1+x^(3))` | |
| 5. |
`int (cossqrt(x))/(sqrt(x))dx` का मान ज्ञात कीजिये | |
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Answer» माना `sqrt(x) =t " "rArr (1)/(2sqrt(x)) dx = dt` इसलिए` int(cossqrt(x))/(sqrt(x)) dx = 2 intcos t dt ` ` = 2 sint +c = sin sqrt(x+c)` |
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| 6. |
`sec^(2)(4x+(pi)/(2))` का समाकलन कीजिये - |
| Answer» Correct Answer - `(1)/(4) tan (4x +pi//6)` | |
| 7. |
`sec^(4)x` फलनो का x के सापेक्ष समाकलन कीजिये । |
| Answer» Correct Answer - `-cosx +(2)/(3)cos^(3)x-(1)/(5)cos^(5)x` | |
| 8. |
`(sec^(2)x)/(sqrt(tanx))` फलनो का x के सापेक्ष समाकलन कीजिये । |
| Answer» Correct Answer - `-cot(tan^(-1)x)` | |
| 9. |
`sec^(2)(7 - 4x)` का समाकलन कीजिए - |
| Answer» Correct Answer - `(1)/(2)(sin^(-1)x)+c` | |
| 10. |
`(cossqrt(x))/(sqrt(x))` का समाकलन कीजिए - |
| Answer» Correct Answer - `2sqrt(1+sinx)+c` | |
| 11. |
`(x^(m-1))/(sqrt(1-x^(m)))` का समाकलन कीजिये - |
| Answer» Correct Answer - `-(2)/(m)sqrt((1-x^(m)))` | |
| 12. |
`(x)/(sqrt(1+x^(2)))` का समाकलन कीजिये - |
| Answer» Correct Answer - `sqrt(1+x^(2))` | |
| 13. |
`x(a^(2) +x^(2))^(n)` का समाकलन कीजिये - |
| Answer» Correct Answer - `((a^(2)+x^(2))^(n+1))/(2(n+1))` | |
| 14. |
`(x)/(1+x)^(4)` का समाकलन कीजिये - |
| Answer» Correct Answer - `(3)/(20)(x^(5)-1)^(4//3)` | |
| 15. |
`(x)/(sqrt((1-x^(4))))` का समाकलन कीजिये - |
| Answer» Correct Answer - `(1)/(2)sin^(-1)` | |
| 16. |
`(x^(2))/(1+x^(6))` का समाकलन कीजिये - |
| Answer» Correct Answer - `(1)/(3)tan^(-1)` | |
| 17. |
`(x)/(1+x^(4))` का समाकलन कीजिये - |
| Answer» Correct Answer - `(1)/(2)tan^(-1)x` | |
| 18. |
`(e^(sqrt(x)))/(sqrt(x))`का समाकलन कीजिये - |
| Answer» Correct Answer - `2e^(sqrt(x))` | |
| 19. |
`(1)/(x^(2))sin.(1)/(x)` का समाकलन कीजिये - |
| Answer» Correct Answer - `cos((1)/(x))` | |
| 20. |
`(e^(1//x))/(x^(2))`का समाकलन कीजिये - |
| Answer» Correct Answer - `-e^(1//x)` | |
| 21. |
`(secsqrt(x)tansqrt(x))/(sqrt(x))`का समाकलन कीजिये - |
| Answer» Correct Answer - `2secsqrt(x)` | |