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L e tI1=int0^1(e^xdx)/(1+x) a n dI2=int0...

`L e tI_1=int_0^1(e^xdx)/(1+x) a n dI_2=int_0^1(x^2dx)/(e^(x^3)(2-x^3))dot tehn (I_1)/(I_2) is equal to` (a)3/e` (b) `e/3` (c) `3e` (d) `1/(3e)`

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CENGAGE PUBLICATION-INTEGRALS-All Questions
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  2. If int0^1(sint)/(1+t)dt=alpha, then the value of the integral int(4pi-...

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  3. L e tI1=int0^1(e^xdx)/(1+x) a n dI2=int0^1(x^2dx)/(e^(x^3)(2-x^3))dot ...

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  4. int(sintheta)^(costheta)f(xtantheta)dx(w h e r etheta!=(npi)/2,n in I...

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  5. Let g(x)=int0^x f(t).dt,where f is such that 1/2<=f(t)<=1 for t in [0,...

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  6. The value of int0^(pi/2) sin|2x-alpha|dx, where alpha in [0,pi], is (...

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  7. IfIn=int0^pie^x(sin"x")^("n")dx ,t h e n(I3)/(I1)"is equal to" (a) 3/...

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  8. int(-2)^0{(x+1)^3+2+(x+1)cos(x+1)dx is equal to (A) -4 (B) 0 (C) 4 ...

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  9. For any real number x, let [x] denote the largest integer less than or...

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  11. If f is continuous function and F(x)=int0^x((2t+3)*intt^2f(u)d u)dt , ...

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  12. Let f'(x)=(192x^3)/(2+sin^4pix) for all x in R with f(1/2)=0.If mleint...

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  18. Let f(x)=min({x},{-x})AA epsilonR, where {.} denotes the fractional pa...

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