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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

`pi/4`

B

0

C

`pi/2`

D

none of these

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The correct Answer is:
A
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PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
  1. if In=int0^(pi/4)tan^ntheta.d theta,then n in N,n(I(n-1)+I(n+1)) equal...

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  2. int0^(pi/4)sinxd(x-[x]) is equal to

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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. value of underset(nrarrinfty)lim((n !)/n^n)^(1/n),where n inN is equal...

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  5. int(-1)^1 max (2-x,2,1+x)dx is

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  6. The value of int(-1)^2abs([x]-{x})dx where [x] is the greatest integer...

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  7. if I=int0^(1.7)[x^2]dx then I equals

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  8. int(-1)^1(x-abs(2x))dx is equal to

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  9. int0^3(absx+abs(x-1))dxis equal to

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  10. suppose for every integer n, intn^(n+1)f(x)dx=n^2then the value of int...

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  11. Evaluate: underset(nrarrinfty)lim (1/(n+1)+1/(n+2)+....+1/(2n))

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  12. The value of int 0^(2npi)[sin x+cosx]dx is equal to

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  13. the value ofint (pi/2)^(3pi/2)[2sinx]dx, is [.] greatest integer funct...

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  14. ifint0^1 f(x)dx=1,int0^1 xf(x)dx=a and int0^1 x^2f(x)dx=a^2 ,then int0...

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  15. if f(x)=-int0^xlog(cost)dt, then the value of f(x)-2f(pi/4+x/2)+2f(pi/...

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  16. if int0^(pi)(x/(1+sinx))^2dx=A, then int0^(pi)((2x^2).(cos^2(x/2)))/(1...

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  17. If intsin^4x/(cos^8x)dx= atan^7x+btan^5x+c then find the relation betw...

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  18. The value of x satisfying int0^(2[x+14]){x/2}dx=int0^({x})[x+14]dxis e...

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  19. if ngt1and I=int0^infty dx/((x+sqrt(1+x^2))^n then I equals

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  20. If [x] denotes the greatest integer lex and n inN then value of In=int...

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