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if int0^1 x(1-x)^(2007//2)dx then it equ...

if `int_0^1 x(1-x)^(2007//2)dx` then it equals

A

2007/2

B

2011/2

C

2009/2

D

none of these

Text Solution

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The correct Answer is:
D
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PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
  1. If [x] denotes the greatest integer lex and n inN then value of In=int...

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  2. if I=int0^1dx/((1+x)(2+x)sqrtx(1-x)then I equals

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  3. if int0^1 x(1-x)^(2007//2)dx then it equals

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  4. if I=int(-1)^2abs(xsinpix)dx then I equals

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  5. if I=int(alpha)^(beta)[loglogx+1/(logx)^2]dx then I equals

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  6. if I=int0^(pi/4) (sin2theta)/(sin^2theta+cos^4theta)d(theta) then I eq...

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  7. if 0ltalphalt1 and I=int(-1)^1dx/(sqrt(1-2alphax+alpha^2) then I equal...

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  8. if I=int8^15 dx/((x-3)sqrt(x+1)) then I equals

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  9. underset(xrarr(pi//4))lim( int2^(sec^2x)(f(t)dt))/(x^2-(pi)^2/16 equal...

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  10. If int1^infty((x^3+3)dx)/(x^6(x^2+1))=(a+bpi)/c, then

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  11. If int0^1 ((1-x^2)dx)/(1+x^2+x^4) =aInb then,

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  12. If f(x)=int(-2)^xabs(t+1)dt then,

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  13. Let f(x)be a function satisfying f(x)=f(x) with f(0)=1 and 'g' be the ...

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  14. Let In=int0^(pi/4)tan^nxdx, then 1/(I2+I4),1/(I3+I5), 1/(I4+I6), 1/(I5...

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  15. The maximum and minimum values of the integral int0^(pi/2)dx/(1+sin^2x...

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  16. Let f(x)=int0^xabs(sint)dt, then

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  17. The value of int(pisinmxsinnxdx(m,ninN) is equal to for limits-pi to p...

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  18. The value of int(1/e)^tanx(tdt)/(1+t^2)+int(1/e)^cotxdt/(t(1+t^2) is

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  19. If (2x)/piltsinxltx for 0ltxlt(pi/2), the the value of the integral in...

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  20. Definite integral of any discontinuous or non differentiable function ...

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