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evaluate: I=int(2x)/((x^2+1)(x^2+3))dx i...

evaluate: `I=int(2x)/((x^2+1)(x^2+3))dx is`

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  2. The values of a for which the integral int0^2|x-a|dxgeq1 is satisfie...

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  3. evaluate: I=int(2x)/((x^2+1)(x^2+3))dx is

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  4. Let I=int1^3sqrt(3+x^3)dx , then the value of I will lie in the inte...

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  5. Ifinta^b|sinx|dx=8a n dint0^(a+b)|cosx|dx=9,t h e n (a) a+b=(9pi)/2 ...

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  6. If f(x)={0 ,where x=n/(n+1),n=1,2,3.... and 1 else where then the va...

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  7. The function f and g are positive and continuous. If f is increasing a...

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  8. A Function f(x) satisfies the relation f(x)=e^x+int0^1e^xf(t)dtdot T...

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  10. Letf: (0,oo)->R andF(x^3)=int0^ 3f(t)dt, if F(x^3)=x^3(x^2+x+1).Then f...

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  11. Ifg(x)=int0^x2|t|dt,then (a)g(x)=x|x| (b)g(x) is monotonic (c) g(x...

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  12. Prove that the value of the integral, int(0)^(2a)(f(x))/(f(x)+f(2a-x)...

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  13. Let f:[1/2,1]->R (the set of all real numbers) be a positive, non-con...

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  14. Let f be a real-valued function defined on the inverval (-1,1) such th...

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  15. int(-1/sqrt3)^(-1/sqrt3)(x^4)/(1-x^4)cos^(- 1)((2x)/(1+x^2))dx

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  17. Let f be a non-negative function defined on the interval [0,1]. If int...

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  18. (lim)(n to oo)n/(2^n)int0^2x^n dx equals

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  19. Let f:[0,oo) to R be a continuous strictly increasing function, such t...

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