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If a is a fixed real number such that f(...

If a is a fixed real number such that f(a-x)+f(a+x)=0, then `int_(0)^(2a) f(x)` dx=

A

`(a)/(2)`

B

0

C

`-(a)/(2)`

D

2a

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Exercise
  1. The value of int(0)^(pi//2) (x+sin x)/(1+cos x)dx, is

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  2. f(x)=|{:(sec x,cos x,,sec^(2) x+cosecx cot x),(cos^(2) x,cos^(2) x,,co...

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  3. If a is a fixed real number such that f(a-x)+f(a+x)=0, then int(0)^(2a...

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  4. The value of int(0)^(1) log((4+3 sin x)/(4+3 cos x))dx, is

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  5. The value of int(0)^(1) tan^(-1)((2x-1)/(1+x-x^(2)))dx is

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  6. The value of int(0)^(2pi) |cos x -sin x|dxis

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  7. If I(1)=int(0)^(1) 2^(x^(2)) dx, I(2)=int(0)^(1) 2^(x^(3)) dx, I(3)=in...

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  8. Consider the integrals I(1)=int(0)^(1)e^(-x)cos^(2)xdx,I(2)=int(0)^(...

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  9. If f(x)=f(a+b-x) for all x in[a,b] and int(a)^(b) xf(x) dx=k int(a)^(b...

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  10. To find the numberical value of int(-2)^(2) (px^(3)+qx+8)dx it is nece...

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  11. Let f:R to R be continuous functions. Then the value of the integral i...

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  12. The value of int(-1//2)^(1//2) |xcos((pix)/(2))|dx is

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  13. The value of the integral int(0)^(pi//2)(f(x))/(f(x)+f(pi/(2)-x))dx is

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  14. The value of int(pi//2)^0 (1)/(9 cosx+12 sinx)dx is

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  15. If I=int(3)^(4) (1)/(3sqrt(logx))dxthen

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  16. If I=int(0)^(1//2) (1)/(sqrt(1-x^(2n)))dxthen which one of the follow...

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  17. If I=int(0)^(1//2) (sin^(2)n x)/(sin^(2)x)dxthen which one of the foll...

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  18. For any integer n, the integral int0^pie^(cosx)cos^3(2n+1)xdx has the ...

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  19. The value of the integral int(0)^(2a) (f(x))/(f(x)+f(2a-x))dx is equal...

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  20. If int(0)^(oo) (log(1+x^(2)))/(1+x^(2))dx=kint(0)^(oo) (log(1+x))/(1+x...

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