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The value of the integral, int3^6 (sqrt(...

The value of the integral, `int_3^6 (sqrt(x))/(sqrt(9 - x) + sqrt(x))dx` is :

A

44228

B

44230

C

2

D

1

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
  1. lim(n rarr oo) {(1^(m)+2^(m)+3^(m)+…….+n^(m))/(n^(m+1))} equals

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  2. If I(1) = int0^(1) 2^(x^(2)) dx, I(2) = int0^(1) 2^(x^(3)) dx, I(3) = ...

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  3. The value of the integral, int3^6 (sqrt(x))/(sqrt(9 - x) + sqrt(x))dx ...

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  4. The solution for x of the equation : int(sqrt2)^(x) (dt)/(tsqrt(t^2 - ...

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  5. Let I = int0^1 (sin x)/(sqrtx) dx and J = int0^1 (cos x)/(sqrtx) dx. T...

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  6. int0^(pi) [cot x] dx, when [cdot] denotes the greatest integer functio...

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

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  8. Ifint0^(a) (1)/(1+4x^(2)) dx = pi/8 then a =

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

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

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

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  12. The value of the integral int0^(pi/4) (sin theta + cos theta)/(9+16 si...

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

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

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

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

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

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

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

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

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