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Integration using rigonometric identitie...

Integration using rigonometric identities :
`int(sin 2x)/(sin^(4)x+cos^(4)x)dx=...`

A

`cot^(-1)(tan^(2)x)+c`

B

`tan^(-1)(tan^(2)x)+c`

C

`cot^(-1)(cot^(2)x)+c`

D

`tan^(-1)(cot^(2)x)+c`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
  1. Integration using rigonometric identities : int sin 4x*e^(tan^(2)x)d...

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  2. Integration using trigonometric identities : int (d theta)/(sin thet...

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  3. Integration using rigonometric identities : int(sin 2x)/(sin^(4)x+co...

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  4. Integration using rigonometric identities : int cos^(5)xdx=....

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  5. Integration using rigonometric identities : int sec x tan^(3)x dx=.....

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  6. Integration using trigonometric identities : int tan^(4)x dx=....

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  7. int(sin 2x)/(sin5x*sin3x)dx=.....+c

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  8. Integration using trigonometric identities : int sec^(4)x tanx dx=.....

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  9. Integrate the following functions : int(1+tanx)/(x+logsecx)dx

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  10. Integration using trigonometric identities : int(1)/(1+sin^(2)x)dx=....

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

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

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

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

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

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

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

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

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

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

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