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The value of the integral intalpha^beta ...

The value of the integral `int_alpha^beta (1)/(sqrt((x-alpha)(beta-x)))dx " for "beta gt alpha`, is

A

`sin^(-1)(alpha//beta)`

B

`pi//2`

C

`sin^(-1)(beta//2alpha)`

D

`pi`

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Exercise
  1. If I=int(-2)^(2) dx, then I equals

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  2. The value of the integral intalpha^beta (1)/(sqrt((x-alpha)(beta-x)))d...

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  3. int(1)^((4sqrt(3))/(5)-1)(x+2)/(sqrt(x^(2)+2x-3))dx equal to

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  4. int(0)^(pi^(2)//4) sin sqrt(x)dx equals to

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  5. int(1//2)^(2) |log(10)x|dx equals to

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  6. The value of the integral int(-pi//2)^(pi//2) log((a-sin theta)/(a+sin...

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  7. The value of the integral int(pi//3)^(pi//3) (x sinx)/(cos^(2)x)dx, is

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  8. The value of int(1)^(7sqrt(2)) (1)/(x(2x^(7)+1)dx is

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  9. The value of int(-1)^(3) (|X2|+[x]dx is ([x] stands for greatest integ...

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  10. If f(x)==|{:(sinx+sin2x+sin3,xsin2,xsin3x),(3+4sinx,3,4sinx),(1+sinx,s...

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  11. Evaluate: ("lim")(xvecoo)((int0xe^x^2dx)^2)/(int0x e^(2x)^2dx)

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  12. The value of int(1)^(4) e^(sqrt(x))dx, is

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  13. The value of int(0)^(1000) e^(x-[x])dx, is

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  14. The value of the integral int(0)^(100) sin(x-[x])pidx, is

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  15. The difference between the greatest and least values of the function p...

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  16. The value of int0^1 (2^(2x+1)-5^(2x-1))/(10^(x))dx is

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  17. The value of int(0)^(pi//2) (cos3x+1)/(2 cos x-1) dx is

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  18. The value of int(0)^(16pi//3) |sinx|dx is

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  19. If int(0)^(npi) f(cos^(2)x)dx=k int(0)^(pi) f(cos^(2)x)dx, then the va...

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  20. The value of int(-pi)^(pi) sinx f(cosx)dx is

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