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I(0)= int(0)^(n pi) f(|cos x|) dx and I(...

`I_(0)= int_(0)^(n pi) f(|cos x|) dx and I_(2)= int_(0)^(5pi) f |cos x|dx`, then

A

`(I_(1))/(I_(2))= (5)/(n)`

B

`(I_(1))/(I_(2))= (n)/(5)`

C

`I_(1) + I_(2)= n+5`

D

`I_(1)- I_(2) = n-5`

Text Solution

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The correct Answer is:
B
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ML KHANNA-DEFINITE INTEGRAL-ProblemSet (1) (Multiple Choice Questions)
  1. int(0)^(32pi//3) sqrt(1+cos 2x) dx

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  2. The value of int(0)^(2) |"cos"(pi)/(2)x|dx is

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  3. I(0)= int(0)^(n pi) f(|cos x|) dx and I(2)= int(0)^(5pi) f |cos x|dx, ...

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  4. If I(1)= int(0)^(3pi) f (cos^(2) x)dx and I(2)= int(0)^(pi) f (cos^(2)...

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  5. The value of int(a)^(a+pi//2) (sin^(4) x + cos^(4) x)dx is

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  6. If for every integer n, int(n)^(n+1) f(x) dx= n^(2), then the value of...

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  7. If int(-2)^(3) f (x) dx= 5 and int(1)^(3) [2-f(x)] dx=6, then int(-2)^...

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  8. If int(-1)^(4) f(x) dx= 4 and int(2)^(4) [3-f(x)] dx= 7, then the valu...

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  9. The value of the integral Sigma(r=1)^(n) int(0)^(1) f(r-1 +x) dx is

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  10. The value of int(0)^(100) e^(x- [x])dx is

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  11. If f(x) is a function satisfying f((1)/(x)) + x^(2) f(x) =0 for all no...

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  12. If 2f(x) + 3f((1)/(x))= (1)/(x)-2, x ne 0 then int(1)^(2) f(x)dx=

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  13. The value of the integral int(0)^(oo) (x log x)/((1+x^(2))^(2)) dx is

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  14. int(0)^(1) "tan"^(-1) (2x-1)/({1+x-x^(2)})dx=

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  15. The value of int(1//e)^(tan x) (t)/(1+ t^(2)) dt+ int(1//e)^(cot x) (1...

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  16. int(0)^(pi) sin^(5) ((x)/(2))dx equals

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  17. If int(0)^(pi//2) cos^(m) x sin^(m) x dx= lamda int(0)^(pi//2) sin^(m)...

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  18. The value of int(1)^(e^(37)) (pi sin (pi ln x))/(x) dx is

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  19. If int(-2)^(5) f(x) dx= 7.5^(3)- 7(-2)^(3) then f(x) is equal to

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  20. Let (d)/(dx) F (x) = (e^(sin x))/(x), x gt 0. If int(1)^(4) (2xe^(sin ...

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