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If int(pi//2)^(x) sqrt(3-2sin^(2)u) dx+...

If `int_(pi//2)^(x) sqrt(3-2sin^(2)u) dx+int_(dx)^(dy)` equal `pi//2`

A

`(sqrt(4-3 sin^(2)x))/(cosy)`

B

`-(sqrt(3-2 sin^(2)x))/(cosy)`

C

`sqrt(3-2sin^(2)x)+cos y`

D

none of these

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Verified by Experts

The correct Answer is:
B
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OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Chapter Test 2
  1. If int(0)^(oo) e^(-x^(2))dx=sqrt((pi)/(2))"then"int(0)^(oo) e^(-ax^(2)...

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  2. The value of the integral int 0^oo 1/(1+x^4)dx is

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  3. If int(pi//2)^(x) sqrt(3-2sin^(2)u) dx+int(dx)^(dy) equal pi//2

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  4. The value of alpha in [0,2pi] which does not satify the equation int(p...

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  5. lim(x to 0)(int(0)^t(x^(2))sinsqrt(t) dt)/(x^(3)) is equl to

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  6. If x satisfies the equation x^(2)( int(0)^(1) (dt)/(t^(2)+ 2t cos al...

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  7. The value of alpha in (-pi, 0) satisfying sin alpha+int(alpha)^(2alpha...

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  8. The value of int(0)^(pi//2) (sin^(3)x cos x)/(sin^(4)x+ cos^(4)x )dx i...

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  9. The value of int(0)^(pi) (1)/(5+3cosx)dx, is

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  10. underset(nrarroo)"lim"[sin'(pi)/(n)+sin'(2pi)/(n)+"......"+sin'((n-1))...

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  11. lim(n to oo) sum(r=1)^(n) {(r^(3))/(r^(4)+n^(4))} equals

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  12. lim(n-gtoo)[(1+1/n)(1+2/n)(1+n/n)]^(1/n)

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  13. Evaluate: (lim)(nvecoo)n[1/(n a)+1/(n a+1)+1/(n a+2)++1/(n b)]

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  14. The solution of the equation int(0)^(x) (1)/(xsqrt(2^(2)-1))dx=(pi)/(1...

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  15. Let I(n)=int(0)^(pi//4) tan^(n) x dx, (n gt1 and n in N), then

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  16. If I(m)=int(1)^(x) (log x)^(m)dx satisfies the relation Im = k-lI(m-1...

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  17. If I(m)=int(0)^(oo) e^(-x)x^(n-1)dx, "then" int(0)^(oo) e^(-lambdax) x...

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  18. If I(m,n)=int(0)^(1)x^(m-1) (1-x)^(n-1)dx then

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  19. The total number of extremum(s) of y=int0^(x^2)(t^2-5t+4)/(2+e^t)dt ar...

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  20. The tangent to the curve y=f (x) at the point with abscissa x =1 from ...

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