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The solution for x of the equation : int...

The solution for x of the equation : `int_(sqrt2)^(x) (dt)/(tsqrt(t^2 - 1)) = pi/2` is :

A

`(sqrt3)/2`

B

`2sqrt2`

C

2

D

`-sqrt2`

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The correct Answer is:
D
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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
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  4. Let I = int0^1 (sin x)/(sqrtx) dx and J = int0^1 (cos x)/(sqrtx) dx. T...

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  6. int(-2)^(2) |x| dx =

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  8. int0^(2pi) e^(x/2) sin (x/2+pi/4) dx =

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  9. The value of the integralint0^(3alpha) cosec(x-alpha) cosec(x-2alpha)d...

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  10. lim(n rarr oo) { n/(n^(2)+1^(2)) + n/(n^(2)+2^(2))+......+ n/(n^(2)+n^...

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  12. int(0)^(1//2) |sin pi x| dx is equal to :

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  13. The value of int(-pi/2)^(pi/2) |x cos ((pix)/2)| dx is

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

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  15. If g(x) = int0^x cos^4 t dt, then g(x + pi) equals:

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  16. If I(n) = int0^(pi/4) tan^(n) theta d theta, then I(8)+I(6) equals

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  17. The value of int0^(pi/2) (1)/(1+tan^(3)x) dx is

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  18. Let f : R to R and g : R to R be continuous functions. Then the value ...

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  19. If f(a + b - x) = fx, then inta^b x f(x) dx is equal to :

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  20. int0^(pi/2) (dx)/(1+cotx) =

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