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The value of overset(1//2)underset(-1//2...

The value of `overset(1//2)underset(-1//2)int |xcos((pix)/(2))|dx` is

A

`(1)/(pi) (pi sqrt2 +4 sqrt2-8)`

B

`(1)/(pi^(2))` `[pi sqrt2 +4sqrt2 -8]`

C

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

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-DEFINITE INTEGRAL-Problem set (3) (Multiple Choice Questions)
  1. The value of the integral overset(1//2)underset(-1//2)int {((x+1)/(...

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  2. The value of the integral int(-1)^(1) log (x+ sqrt(x^(2)+1)) dx is

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  3. The value of overset(pi//2)underset(-pi//2)int sin{log(x+sqrt(x^(2)+1)...

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  4. int(log 1//2)^(log 2) sin {(e^(x)-1)/(e^(x) +1}dx=

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  5. The value of overset(1//2)underset(-1//2)int |xcos((pix)/(2))|dx is

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  6. The function F(x)= int(0)^(x) log (t+ sqrt(1+t^(2)))dt is

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  7. The function F(x)= int(0)^(pi) "log" ((1-x))/((1+x)) dx is a function ...

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  8. The antiderivative of every odd function is an

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  9. If n in N, then int(-n)^(n) (-1)^([x]) dx equals

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  10. int(-1)^(1) (sqrt(1+x+x^(2))-sqrt(1-x+x^(2))) dx =

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  11. The value of int(-pi)^(pi) (1-x^(2)) sin x cos^(2) x dx is

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  12. int(-1)^(1) (sin x-x^(2))/(3-|x|)=

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  13. If f(x) + f(Y) = f(x+y) and int(0)^(3) f(x) dx= lamda, then int(-3)^(3...

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  14. I= int(-pi//3)^(pi//3) (x sin x)/(cos^(2)x) dx is equal to

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  15. The value of the integral overset(1)underset(-1)int sin^(11)x" dx" is

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  16. The value of int(-1)^(1) sin^(3) x cos^(2)xdx is

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  17. If f is an odd function, then I= int(-a)^(a) (f (sin theta))/(f (cos t...

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  18. If f(x)= {(e^(cos x)sin x,"for " |x| le 2),(2,"otherwise"):} then int(...

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  19. int(-1)^(1)(x^(2)+sin x)/(1+x^(2))dx=

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  20. The value of int(-a)^a(cos^(- 1)x-sin^(- 1)sqrt(1-x^2))dx is (a>0) t...

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