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int(ln 2)^x (e^x-1)^(-1) dx=In 3/2 then ...

`int_(ln 2)^x (e^x-1)^(-1) dx=In 3/2` then what is the value of x?

A

`e^2`

B

`1/e`

C

`ln 4`

D

`(-1)/e`

Text Solution

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The correct Answer is:
C
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PUNEET DOGRA-DEFINITE INTEGRATION -PREVIOUS YEAR QUESTIONS
  1. int(ln 2)^x (e^x-1)^(-1) dx=In 3/2 then what is the value of x?

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  2. What is the value of I1

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  3. In the circuit shown in fig., the value of I1+I2 is

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  4. What is int0^(pi//2) |sin x-cosx|dx equal to

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  5. What is tint0 ^(pi//2) e^(sin x) cos x dx equal to

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  6. What is int(-1)^1 {d/(dx) (tan^-1 1/x)}dx equal to

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  7. What is int2^ s |x-5|dx equal to

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  8. What is inta^b [x] dx+ inta^b [-x]dx equal to where [,] is the greater...

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  9. What is int0^1 x(1-x)^9 dx equal to

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  10. IF inta^b x^1 dx=0 and inta^b x^2 dx=2/3 then what are the values of a...

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  11. What is the value of int(-pi//4)^(pi//4) (sin x- tan x)dx

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  12. What is int0^sqrt2 [x^2]dx equal to where [.] is the greatest integer ...

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  13. What is int1^2 logx dx equal to

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  14. What is int0^pi e^x sin xdx equal to

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  15. What is int0^(2pi) sqrt(1+ sin""x/2 dx) equal to

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  16. The value of int0^(pi//4) sqrt(tan x dx) +int0^(pi//4) sqrt(cot x dx) ...

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  17. What is int0^(pi//2) (d theta)/(1+ cos theta) equal to

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  18. If f(x) and g(x) are continuous functions satisfying f(x)=f(a-x) and g...

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  19. Simplify:- '(137*137 + 137*133 + 133*133) / (137*137*137 - 133*133*13...

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  20. Simplify:- [(7+7+7) ÷ 7]/ [(5+5+5) ÷ 5]

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  21. IF int0^(pi//2) (dx)/(3 cos x+5) =k cot^-1 2. Then what is the value o...

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