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Integration using rigonometric identitie...

Integration using rigonometric identities :
`int(sin theta)/(cos3 theta)+(sin 3 theta)/(cos9 theta)+( sin9 theta)/(cos 27theta)d theta=...+c`

A

`(1)/(2)log|(sec 27 theta)/(sec theta)|`

B

`(1)/(2)log|(sec theta)/(sec 27theta)|`

C

`(1)/(2)log|sqrt((sec theta)/(sec 27theta))|`

D

None of these

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
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  2. Integration using rigonometric identities : (d)/(dx)g(x)=g(x) and g(...

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  3. Integration using rigonometric identities : int(sin theta)/(cos3 the...

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  4. Integration using rigonometric identities : int sin(101x)*sin^(99)x ...

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  5. Integration using rigonometric identities : int sin 4x*e^(tan^(2)x)d...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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