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Ifint0^oo(x^2dx)/((x^2+a^2)(x^2+b^2)(x^2...

`Ifint_0^oo(x^2dx)/((x^2+a^2)(x^2+b^2)(x^2+c^2))` `=pi/(2(a+b)(b+c)(c+a))` then the value of `int_0^oo(dx)/((x^2+4)(x^2+9))` (a) `pi/(60)` (b) `pi/(20)` (c) `pi/(40)` (d) `pi/(80)`

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  3. Ifint0^oo(x^2dx)/((x^2+a^2)(x^2+b^2)(x^2+c^2)) =pi/(2(a+b)(b+c)(c+a...

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  4. The value of the integral int0^1(dx)/(x^2+2xcosalpha+1) is equal to ...

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  5. Determine a positive integer nlt=5 such that int0^1e^x(x-1)^n=16-6e

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  6. Let f be a continuous function on [a ,b]dot Prove that there exists a ...

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

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  12. If f(x)=(sinx)/xAAx in (0,pi], prove that pi/2int0^(pi/2)f(x)f(pi/2-x)...

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  13. Determine a positive integer n such that int0^(pi/2)x^nsinx dx=3/4(pi^...

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