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Let I(1)=int(0)^(1)(e^(x)dx)/(1+x) and I...

Let `I_(1)=int_(0)^(1)(e^(x)dx)/(1+x)` and `I_(2)=int_(0)^(1)(x^(2)dx)/(e^(x^(3))(2-x^(3)))`.Then `(I_(1))/(I_(2))` is equal

A

`3//e`

B

`e//3`

C

`3e`

D

`1//3e`

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The correct Answer is:
C
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RESONANCE ENGLISH-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 1 Part-II
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  2. The value of int(0)^(pi//2)ln|tanx+cotx| dx is equal to :

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  3. Let I(1)=int(0)^(1)(e^(x)dx)/(1+x) and I(2)=int(0)^(1)(x^(2)dx)/(e^(x^...

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  4. The value of int(0)^(|x|){x} dx (where [*] and {*} denotes greatest in...

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  5. If int(0)^(11) (11^(x))/(11^([x]))dx = k/(log11), (where [] denotes gr...

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  6. f(x) = int(x)^(x^(2))(e^(t))/(t)dt, then f'(t) is equal to : (a) 0 (b)...

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  7. f(x) = /int{0}^x(t-1)(t-2)^(2)(t-4)^(5) dt (xgt0) then numb er of poin...

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  8. Lim(hto0)(int(a)^(x+h)ln^(2)tdt-inta^(x)ln^(2)tdt)/(h) equals to :

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  9. The value of function f (x) =1 +x+ int (1) ^(x) (ln ^(2)t +2 ln t ) dt...

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  10. If int(0)^(y)cost^(2)dt=int(0)^(x^(2))(sint)/tdt, then prove that (dy)...

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  11. If int(sinx)^(1)t^(2) (f(t)) dt = (1-sinx), then f ((1)/(sqrt(3))) is

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  12. The value of lim(a rarr oo)(1)/(a^(2))int(0)^(a)ln(1+e^(x))dx equals

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  13. int(0)^(pi//2) sin^(4)xcos^(3)dx is equal to :

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  19. lim(nrarr0) sum(r=1)^(n) ((r^(3))/(r^(4)+n^(4))) equals to :

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  20. underset(n to oo)lim" " underset(r=2n+1)overset(3n)sum (n)/(r^(2)-...

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