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The value of int0^pi (sin(n+1/2)x)/(sin ...

The value of `int_0^pi (sin(n+1/2)x)/(sin (x/2)) dx` is, `n in I` (a) `pi/2` (b) `0` (c) `pi` (d) `2pi`

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CENGAGE PUBLICATION-INTEGRALS-All Questions
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  4. IfI(m , n)=int0^1x^(m-1)(1-x)^(n-1)dx ,(m , n in I ,m ,ngeq0),t h e n...

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  6. int0^1(tan^(-1)x)/x dx is equals to (a) int0^(pi/2)(sinx)/x dx (b)...

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  9. int(sintheta)^(costheta)f(xtantheta)dx(w h e r etheta!=(npi)/2,n in I...

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  10. Let g(x)=int0^x f(t).dt,where f is such that 1/2<=f(t)<=1 for t in [0,...

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  11. The value of int0^(pi/2) sin|2x-alpha|dx, where alpha in [0,pi], is (...

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  16. If f is continuous function and F(x)=int0^x((2t+3)*intt^2f(u)d u)dt , ...

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  17. Let f'(x)=(192x^3)/(2+sin^4pix) for all x in R with f(1/2)=0.If mleint...

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  18. If the value of lim(n rarr oo)(n^(-3/2)) sum(j=1)^(6n) sqrt(j) is equa...

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  19. If int0^xf(t) dt=x+intx^1 tf(t)dt, then the value of f(1)

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  20. If I=int0^((3pi)/4)[(1+x)sinx+(1-x)cosx]dx , then value of (sqrt(2)-1...

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