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int (dx)/(sec x + "cosec x")...

`int (dx)/(sec x + "cosec x")`

A

`{(sin x + cos x )+1/sqrt(2) log |(tan x//2-1-sqrt(2))/(tan x//2-1+sqrt(2))|}+C`

B

`2{(sin x+ cos x)+1/sqrt(2)log |(tanx//2-1-sqrt(2))/(tan x//2-1+sqrt(2))|}+C`

C

`1/2{(sin x- cos x)+1/sqrt(2)log |(tanx//2-1-sqrt(2))/(tan x-1+sqrt(2))|}+C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-INDEFINITE INTEGRAL -Exercise For Session 3
  1. intsqrt((x^4)/(a^6+x^6))dx

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  2. int (1)/(4e^x+9e^(-x))dx=....

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  3. Evaluate the following integrals int (2^(x))/(sqrt(4^(x)-25))dx

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  4. Evaluate: int(8x-11)/sqrt(5+2x-x^(2))dx

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  5. निम्नलिखित समाकलों के मान ज्ञात कीजिए- int (x+2)/sqrt(x^(2)+2x+3) d...

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  6. Evaluate the following integrals int (x-3)/sqrt(3-2x-x^(2))dx

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  7. Evaluate the following integrals int (3x-1)/(4x^(2)-4x+17)dx

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  8. int(sqrt(x)dx)/(sqrt(2x+3))

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  9. Evaluate the following integrals int sqrt((a-x)/(x-b))dx

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  10. Evaluate the following integrals int sqrt((1-x)/(1+x))dx

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  11. Evaluate the following integrals int(x^(2)+2x+3)/(sqrt(x^(2)+x+1)...

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  12. Evaluate the following integrals int (dx)/(1+sin x+cos x)

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  13. Evaluate: int1/(sinx+sqrt(3)cosx)\ dx

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  14. Evaluate the following integrals int (cos^(2)x sin x)/(sin x - co...

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  15. Evaluate : int(e^x)/(sqrt(5-4e^x-\ e^(2x)))\ dx

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  16. Evaluate the following integrals int sqrt((cos x- cos^(3)x)/((1-c...

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  17. Evaluate the following integrals Evaluate int (3 sin x+2 cos x)/(...

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  18. Evaluate the following integrals Evaluate int (2x-4)sqrt(4+3x-x^(...

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  19. int((2x^2+5x+9)dx)/((x+1)sqrt(x^2+x+1))

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  20. int (dx)/(sec x + "cosec x")

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