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Let f be a positive function. Let I1=...

Let `f` be a positive function. Let `I_1=int_(1-k)^k xf([x(1-x)])dx ,` `I_2=int_(1-k)^kf[x(1-x)]dx ,w h e r e2k-1> 0. T h e n(I_1)/(I_2)i s` 2 (b) `k` (c) `1/2` (d) 1

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CENGAGE PUBLICATION-INTEGRALS-All Questions
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  3. Let f be a positive function. Let I1=int(1-k)^k xf([x(1-x)])dx , ...

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  6. If g(x)=int0^xcos^4tdt , then g(x+pi) equals (a)g(x)+g(pi) (b) g(...

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  10. Let f be a one-to-one continuous function such that f(2)=3 and f(5)=7....

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  11. The integral int(-1/2)^(1/2) ([x]+1n((1+x)/(1-x)))dx is equal to (wher...

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  12. Evaluate: int0^(e-1)(e^((x^2+2x-1)/2))/(x+1)dx+int1^e xlogx e^(x^(2-2)...

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  13. Evaluate lim(xrarr0)(x-int0^(x) cost^2dt)/(x^3-6x)

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  14. The value of 2^(2010)(int0 ^1x^(1004)(1-x)^(1004)dx)/(int0^1x^(1004)(...

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  15. If int(0)^(1)(e^(t))/(1+t)dt=a then find the value of int(0)^(1)(e^(t)...

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  16. If f(x)=x+int0^1t(x+t)f(t)dt ,then the value of 23/2f(0) is equal...

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  17. Let f:(0,oo)to(0,oo) be a differentiable function satisfying, int0^x(1...

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  18. If f(x)a n dg(x) are continuous functions, then int(1nlambda)^(1n1/lam...

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  19. The value of int-pi^pi cos^2x/[1+a^x]dx, a > 0 is

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  20. If b=int(0)^(1) (e^(t))/(t+1)dt, then int(a-1)^(a) (e^(-t))/(t-a-1) is

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