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The value of int(-pi/2)^(pi/2) |x cos ((...

The value of `int_(-pi/2)^(pi/2) |x cos ((pix)/2)| dx` is

A

`(pisqrt2 + 4sqrt2-8)/pi^(2)`

B

`(sqrt2 + 4pisqrt2-8)/pi^(2)`

C

`(pisqrt2 + 4sqrt2+8)/pi^(2)`

D

none of these

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The correct Answer is:
A
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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
  1. The value of the integral int0^(pi/4) (sin theta + cos theta)/(9+16 si...

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

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

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

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

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

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

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

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

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

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  11. If f and g are continuous [0,a) satisfying f(x) = f(a-x) and g(x)+ g(a...

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  12. int0^(3) |x^(3)+x^(2)+3x| dx is equal to

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  13. int0^(10) |x(x-1)(x-2)| dx is equal to

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  14. If I = int0^(pi/4) log (1+ tan x) dx, then I =

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  15. lim(n rarr oo) {1/n+1/(n+1)+1/(n+2)+…..+1/(3n)} =

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  16. If I = int(-pi)^(pi) (e^(sinx))/(e^(sinx)-e^(-sinx)) dx then I =

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  17. lim(x rarr oo) (int(0)^(2x) xe^(2)dx)/(e^(4x^(2))) equals :

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  18. The value of int(-2)^(2) { p log ((1+x)/(1-x))+ q log ((1-x)/(1+x))^(...

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  19. inta^(b) |x|/x dx, (Where 0 lt a lt b) =

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  20. The area of the region bounded by the curve y^(2)=8x and the line y=2x...

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