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Integration using rigonometric identitie...

Integration using rigonometric identities :
`int (sinx- cos x)/(x^(2)+x sin x)dx=....+c`

A

`log|x+sinx|`

B

`log|(x)/(x+sinx)|`

C

`log|x^(2)+x sinx|`

D

`log|(x+sinx)/(x)|`

Text Solution

Verified by Experts

The correct Answer is:
B
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KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
  1. If Integration using rigonometric identities : int(1)/(1+cotx)dx=px+...

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  2. If Integration using trigonometric identities : int(cos 8x+1)/(tan2x...

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  3. Integration using rigonometric identities : int (sinx- cos x)/(x^(2)...

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  4. Integration of some particular functions : int x sqrt((1-x^(2))/(1+x...

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  5. Integration of some particular functions : int(x-2)/(x^(2)-4x+5)dx=...

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  6. Integration of some particular functions : int (dx)/(5-4 cosx)=.......

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  7. Integration of some particular functions : int (sin 2x)/(p cos^(2) ...

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  8. Integration of some particular functions : int(tanx)/(4+9 tan^(2)x)...

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  9. Integration of some particular functions : int(e^(x))/(e^(2x)+e^(x)...

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  10. Integration of some particular functions : int(1)/(sqrt(2-3x-x^(2))...

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  11. Integration of some particular functions : int(dx)/(sqrt(("log"(1)/...

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  12. Integration of some particular functions : int(x-2)/(x^(2)-4x+3)dx=...

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  13. Integration of some particular functions : int(dx)/(sqrt(25-9x^(2))...

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  14. Integration of some particular functions : int(dx)/(sqrt(25+9x^(2))...

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  15. Integration of some particular functions : int(dx)/(sqrt(x^(2)-6x+9)...

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  16. Integration of some particular functions : int(dx)/(sqrt(x^(2)-2x+3...

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  17. Integration of some particular functions : int(x^(4)+3x^(2)+1)/(x^(...

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  18. Integration of some particular functions : int(dx)/(sqrt(21+12x-9x^...

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  19. Integration of some particular functions : int(2x)/(sqrt(x^(2)-2x+7...

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  20. Integration of some particular functions : int(1)/(3t^(2)+4)dt=A ta...

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