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If int(log2)^(x) (du)/((e^(u)-1)^(1/2)) ...

If `int_(log2)^(x) (du)/((e^(u)-1)^(1/2)) = pi/6`, then `e^(x) =`

A

1

B

2

C

4

D

minus 1

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The correct Answer is:
C
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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
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  3. If int(log2)^(x) (du)/((e^(u)-1)^(1/2)) = pi/6, then e^(x) =

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  4. The value of int0^(sin^(2)theta) sin^(-1) sqrtphi dphi + int0^(cos^(2)...

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  5. int0^(10pi) |sin x| dx is

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  6. int(-pi)^(pi) (2x(1 + sin x))/(1 + cos^2 x) dx is :

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  7. int0^(sqrt2) [x^(2)] dx = , wher [x] is the greatest integer function

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  8. If P = int0^(3pi) f(cos^(2)x) dx and Q = int0^(pi) f(cos^(2)x) dx then

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  9. If int0^(1) (x^(7))/(sqrt(1-x^(4))) dx =

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  10. Let I(1) = inta^(pi-a) xf (sin x) dx, I(2) = inta^(pi-a) f(sinx) dx th...

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  11. The value of the integral int(1/n)^(((an-1))/(n)) sqrtx/(sqrt(a-x) + s...

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  12. For any integer n, the integral : int0^(pi) e^(cos^2) cos^(3) (2n + 1)...

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  13. If f(x) =

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  14. int(pi/6)^(pi/3) (dx)/(1+sqrtcotx) =

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  15. int(-pi)^(pi) (1 - x^2)sin x cdot cos^2 x cdot dx is :

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  16. If int0^(a) f(2a-x) dx = mu and int0^(a) f(x) dx = lambda, then int0^(...

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  17. If U(n) = int0^(pi/4) tan^(n) x dx then u(n)+u(n-2) =

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  18. The value of I = int0^(1) x|x-1/2|dx is

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  19. The value of int2^(8) |x-5| dx is

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  20. int0^(pi/8) cos^(3) 4 theta d theta =

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