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Ifint(log2)^x(dx)/(sqrt(e^x-1))=pi/6,"th...

`Ifint_(log2)^x(dx)/(sqrt(e^x-1))=pi/6,"then " x " is equal to"`
(a)4 (b) 1n 8 (c) 1n 4 (d) none of these

A

`e^(2)`

B

`1//e`

C

log 4

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Exercise
  1. The value of the integral int(0)^(2a) (f(x))/(f(x)+f(2a-x))dx is equal...

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  2. If int(0)^(1) (log(1+x)/(1+x^(2))dx=

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  3. Ifint(log2)^x(dx)/(sqrt(e^x-1))=pi/6,"then " x " is equal to" (a)4 ...

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  4. The value of the integral overset(pi)underset(0)int log(1+cos x)dx is

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  5. The value of the integral overset(pi)underset(0)int(1)/(a^(2)-2a cos x...

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  6. The integral int(0)^(pi//2) f(sin 2 x)sin x dx is equal to

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  7. int(0)^(pi) k(pix-x^(2))^(100)sin2x" dx" is equal to

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  8. The value of the integral int(2)^(4) (sqrt(x^(2)-4))/(x^(4))dx is

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  9. The value of the integral int(0)^(pi)(1)/(a^(2)-2a cos x+1)dx (a gt1),...

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  10. If fa n dg are continuous function on [0,a] satisfying f(x)=f(a-x)a n ...

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  11. int0^(pi//2) x(sqrt(tan x)+sqrt(cot x))dx equals

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  12. Choose the correct answer The value of the integral int1/3 1((x-x^3)^(...

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  13. Evaluate: int0^(100pi)sqrt((1-cos2x))dxdot

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  14. Evaluate: int(-1/2)^(1/2)[((x+1)/(x-1))^2+((x-1)/(x+1))^2-2]^(1/2)dx

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  15. The value of the integral int(1//e)^(e) |logx|dx, is

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  16. The value of int(0)^(pi//2) (sin 8x log cot x)/(cos 2x)dx, is

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  17. The value of int(0)^(pi//2) x^(10) sin x" dx", is then the value of m...

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  18. T h ev a l u eofint0^(pi/2)(dx)/(1+tan^3x)i s 0 (b) 1 (c) pi/2 (d...

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  19. The value of int0^pi (sin(n+1/2)x)/(sin (x/2)) dx is, (a) n in I, n >...

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  20. If (d(f(x)))/(dx) = g(x) AA x in [a, b] then int(a)^(b)f(x).g(x)dx is ...

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