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The value of int0^(sin^2x)sin^(-1)(sqrtt...

The value of `int_0^(sin^2x)sin^(-1)(sqrtt)dt+int_0^(cos^2x)cos^(-1)(sqrtt)dt` is

A

0

B

`pi/4`

C

`pi/2`

D

none of these

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The correct Answer is:
B
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PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
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  2. If a continous function f satisfies int0^f(x) t^2 dt=x^2(1+x) for all ...

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

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

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

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

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

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

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

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

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  11. If I=int0^(pi/4)log(1+tanx) dx then I is equal to

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  12. The value of int(in2)^sqrt(in3) (xsinx^2)/(sinx^2+sin(In6-x^2)dx is

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  13. The value of int0^1 (8log(1+x))/(1+x^2) dx is

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  14. Th value of int(-2)^(2) (xcosx+sinx+1) dx is

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  15. intpi^(16pi) abs(sinx) dx=

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  16. The value of underset(nrarrinfty)lim oversetn underset(r=1) sum (r^3)/...

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  17. The value of int0^pi sin^(50)x cos^(49)x dx is

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  18. If I1=int0^1 2^(x^2)dx , I2=int0^1 2^(x^3) dx , I3= int1^2 2^(x^2) dx ...

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  19. The interval in which f(x) defined by f(x) = int(-1)^x (t^2+2t)(t^2-1)...

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  20. Let f be an odd continous function which is periodic with priod 2 if g...

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