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int(1+tan^(2)x)/(1-tan^(2)x)dx=.......

`int(1+tan^(2)x)/(1-tan^(2)x)dx=....`

A

`log((1-tanx)/(1+tanx))+c`

B

`log((1+tanx)/(1-tanx))+c`

C

`(1)/(2) log((1-tanx)/(1+tanx))+c`

D

`(1)/(2) log((1+tanx)/(1-tanx))+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
  1. Integration using trigonometric identities : int(1)/(1+sin^(2)x)dx=....

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  2. int(sin^(3)2x)/(cos^(5)2x)dx=...

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  3. int(1+tan^(2)x)/(1-tan^(2)x)dx=....

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  4. int(cos4x+1)/(cosx-tanx)dx=k cos4 x+c then.....

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  5. Integration using rigonometric identities : int ((sin theta+cos thet...

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  6. int sec^((2)/(3))x*"cosec"^((4)/(3))x dx=....

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  7. If Integration using rigonometric identities : int(sec^(2)x)/((1+tan...

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  8. Integration using rigonometric identities : int tanx*sec^(2)x sqrt(1...

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  9. Integration using rigonometric identities : int cos^(-(3)/(7))x sin^...

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  10. int sec^(2)x*cosec^2(x)dx=.....+c

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  11. int((sinx)^(99))/((cosx)^(101))dx=....+c

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  12. Integration using rigonometric identities : int (x sin x)/((x cos x-...

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  13. int(1-cos x)cosec^(2)xdx=.....+c

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  14. If Integration using trigonometric identities : int sin 2x*cos 3 x d...

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  15. If Integration using rigonometric identities : int (cos 4x+1)/(cot x...

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  16. Integration using rigonometric identities : int(1+cosx)/(sin xcos x)...

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  17. Integration using rigonometric identities : int (sin x cos x)/(sqrt(...

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  18. If Integration using rigonometric identities : int(1)/(1+cotx)dx=px+...

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

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

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