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If f(x) is integrable on [0,a], then int...

If f(x) is integrable on [0,a], then `int_0^(a) (f(x))/(f(x)+ f(a-x)) dx =`

A

a

B

2a

C

`pi/4`

D

`pi/2`

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The correct Answer is:
A
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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
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  3. If f(x) is integrable on [0,a], then int0^(a) (f(x))/(f(x)+ f(a-x)) dx...

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  4. If In = int0^(pi//4) tan^n theta d theta, then for any +ve integer n, ...

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  6. The value of int0^(pi) (dx)/(5+3cosx) is

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  7. int0^(pi) (xdx)/(a^(2) cos^(2) x+ b^(2) sin^(2) x) =

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  8. int0^(2pi) (sinx+|sinx|) dx =

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  9. int0^(oo) (xdx)/((1+x)(1+x^(2))) =

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  10. int0^(pi/8) cos^(3) 4 theta d theta =

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  11. int(pi/4)^(pi/2) cosec^(2)x dx =

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  12. If I(1)= int(0)^(pi//2) x sin x dx and I(2)=int(0)^(pi//2) x cos x dx,...

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  13. If f (x) is defined [-2, 2] by f(x)=4x^(2)-3x+1 and g(x)=(f(-x)-f(x))...

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  14. If k int (0)^(1)x.f(3x)dx = int(0)^(3) t. f(t)dt, then the value of k ...

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  15. The value of the integral int0^(pi//2) (sin^(100) x - cos^(100) x) dx ...

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  16. int(1)^(3)(x-1)(x-2)(x-3)dx=

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  17. If 2f(x)- 3f(1/x) = x then int1^(e) f(x) dx =

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  18. If [x] denote the greatest integer function , then , int(0)^(pi//6) (1...

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

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  20. int0^(10pi) |sin x| dx is

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