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Let In=int0^(pi/4)tan^nxdx, then 1/(I2+I...

Let `I_n=int_0^(pi/4)tan^nxdx`, then `1/(I_2+I_4),1/(I_3+I_5), 1/(I_4+I_6), 1/(I_5+I_7)`

A

44200

B

44198

C

44204

D

none of these

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A
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PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
  1. Find the value of int0^2|x^2+2x-3|dx.

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  2. The value of int0^1.5 [x^2] dx is : where [x] denotes greatest integer...

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

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  4. If int(-1)^4 f(x) dx =4 and int2^4[3-f(x)]dx=7 then the value of int(...

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  5. if I10=int0^(pi/2) x^(10) sinx dx then the value of I10 + 90 I8 is

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  6. If an= int0^(pi/4) cot^nx dx then a2+a4 , a3+a5 , a4+a6

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  7. The value of int(pi/6)^((5pi)/6)sqrt(4-4sin^2t)dt

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  8. int0^infty[2/lnx] dx where [] denotes the greatest integer equals

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  9. if int2^e [(1/logx)-(1/(logx)^2)] dx=a+(b/log2)' then

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  10. If I=abs(int2^6 (sinx dx)/(1+x^2) then

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  11. Let f(x) =int(-1)^x abs(x+1) dx then

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  12. If a continous function f satisfies int0^f(x) t^2 dt=x^2(1+x) for all ...

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  13. The value of int0^(sin^2x)sin^(-1)(sqrtt)dt+int0^(cos^2x)cos^(-1)(sqrt...

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  14. A line tangent to the graph of the function y=f(x) at the pointx =a fo...

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  15. The value of int0^(pi/2)log(tanx)dx is

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  16. int(pi/2)^(3pi/2) [2sinx]dx is equal to [x] denotes the greatest integ...

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  17. The value of the integral int0^3 dx/((sqrt(x+1) +sqrt(5x+1)) is

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  18. The solution of the equation intsqrt2^x dx/(xsqrt(x^2-1)=pi/12 is give...

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  19. The value of int(1/e^2)^e abs(logx)dx is

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  20. The integral int0^(pi/2) dx/(x+sqrt(a^2-x^2)) equals

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