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Let f(x) be a continuous function AAx in...

Let `f(x)` be a continuous function `AAx in R ,` except at `x=0,` such that `int_x^a(f(t))/t dt ,p rov et h a tint_0^af(x)dx=int_0^ag(x)dx`

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RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -High Level Problem
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  2. If n gt 1. Evaluate int(0)^(oo)(dx)/((x+sqrt(1+x^(2)))^(n))

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  3. Let f(x) be a continuous function AAx in R , except at x=0, such that...

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  4. Given that lim(nrarroo) sum(r=1)^(n) (log(e)(n^(2)+r^(2))-2log(e)n)/n ...

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  5. For a natural the following questions : Now answer the following que...

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  6. Given that lim(x to oo)(int(0)^(x)(t^(2))/(sqrt(a+t))dt)/(bx-sinx) = 1...

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  10. Find the area of the region bounded by y = f(x), y = |g(x)| and the li...

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  11. Let f(x)={{:(-2",",-3lexle0),(x-2",",0ltxle3):}andg(x)=f(|x|)+|f(x)| ...

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  15. Let ABC be a triangle with vertices A -=(6,,2sqrt3+1))),B-=(4,2)and C-...

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  16. Find the area of the region which is inside the parabola satisfying t...

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  17. Find the area of the region which is inside the parabola y = - x^(2) +...

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  18. Consider the curve C: y = sin 2x - sqrt(3)|sinx|, C cuts the x-axis at...

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