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If 0 lt a lt 1, then int(-1)^(1) (1)/(sq...

If `0 lt a lt 1`, then `int_(-1)^(1) (1)/(sqrt(1-2ax+a^(2)))dx` is equal to

A

1

B

`2pi`

C

`pi//2`

D

`log ((a+1) / (a-1)) /(a)`

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Exercise
  1. The value of int(0)^(2) | cos ""(pi)/( 2) t|dt is equal to

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  2. If int(0)^(1) cot^(-1)(1-x+x^(2))dx=k int(0)^(1) tan^(-1)x dx, then k=

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  3. If 0 lt a lt 1, then int(-1)^(1) (1)/(sqrt(1-2ax+a^(2)))dx is equal to

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  4. The value of int(0)^(pi//2) (x+sin x)/(1+cos x)dx, is

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

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  6. The value of int(0)^(pi/2) log((4+3 sin x)/(4+3 cos x))dx, is

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

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

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

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

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  13. Let f: Rveca n dg: RvecR be continuous function. Then the value of the...

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

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

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

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

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

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  19. Q. int0^pie^(cos^2x)( cos^3(2n+1) x dx, n in I

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

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