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T h ev a l u eofint1^((1+sqrt(5))/2)(x^2...

`T h ev a l u eofint_1^((1+sqrt(5))/2)(x^2+1)/(x^4-x^2+1)log(1+x-1/x)dxi s` (a)`pi/8(log)_e2` (b) `pi/2(log)_e2` (c)`-pi/2(log)_e2` (d) none of these

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CENGAGE ENGLISH-INTEGRALS-All Questions
  1. The value of the definite integral int0^(sqrt(1n(pi/2)))cose^(x^(2)...

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  2. Evaluate: int0^(π/2)cos2x+4sin2x cos2xdx

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  3. T h ev a l u eofint1^((1+sqrt(5))/2)(x^2+1)/(x^4-x^2+1)log(1+x-1/x)dxi...

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  4. If f(x) is a function satisfying f(x+a)+f(x)=0 for all x in R and pos...

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  5. If f(x) is monotonic differentiable function on [a , b] , then int...

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  6. Find the value of : int0^(10)e^(2x-[2x])d(x-[x])w h e r e[dot] denote...

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  7. The range of the function f(x)=int(-1)^1(sinxdt)/((1-2tcosx+t^2) is

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  8. L e tA=int0^oo(logx)/(1+x^3)dx Then find the value of int0^oo(xlogx)/(...

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  9. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0)=0,x in R , w...

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  10. Show that : int0^1(logx)/((1+x))dx=-int0^1(log(1+x))/x dx

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  11. The value of lim(n->oo) [tan(pi/(2n)) tan((2pi)/(2n))........tan((npi...

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  12. Evaluate: int0^pi(xsinx)/(1+cos^2x)\ dx

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  13. Match the statements/expression given in Column I with the values give...

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  14. If int0^t(bxcos4x-asin4x)/(x^2)=(asin4t)/t-1 where 0lttltpi/4, then th...

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  15. If I1=int0^pixf(sin^3x+cos^2x)dxa n d I2=int0^(pi/2)f(sin^3x+cos^2x)d...

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  16. int0^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx)) dx

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  17. If Un=int0^1x^n(2-x)^ndxa n dVn=int0^1x^n(1-x)^n dx ,n in N , and if ...

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  18. Find the value of int0^1 2x^3-3x^2-x+1 3dxdot

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  19. If int0^oox^(2n+1)dote^(-x^2)dx=360 , then the value of n is

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  20. Evaluate: int0^oo(dx)/(1+x^2)

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