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The value of underset(1//e)overset(tanx)...

The value of `underset(1//e)overset(tanx)int(t)/(1+t^(2))dt+underset(1//e)overset(cotx)int(1)/(t(1+t^(2)))dt`, where `x in (pi//6, pi//3`), is equal to :

A

`1//2`

B

`1`

C

`pi//4`

D

none of these

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-EXERCISE (LEVEL 1) Single Correct Answer Type Questions
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  3. The value of underset(1//e)overset(tanx)int(t)/(1+t^(2))dt+underset(1/...

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  4. The equation of the tangent to the curve y= int(x^4)^(x^6) (dt)/( sqrt...

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  5. The value of int (-1)^(1) x|x| dx is

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  10. Let f(x) = {x}, the fractional part of x then int(-1)^(1) f(x) dx is e...

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  11. The value of int(-pi//2)^(pi//2) cos t sin (2t- pi//4) dt is

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  12. int(0)^(oo)(x logx)/((1+x^(2))^(2)) dx=

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  13. overset(1)underset(0)int |sin 2pi x|dx id equal to

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  14. The value of lim(x->oo)(int0^x(tan^(-1)x)^2)/(sqrt(x^2+1))dx

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  15. If A (t) = int(-1)^(t) e^(-|x|) dx, then lim( t to oo) A (t) is equal ...

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  16. If the value of int(-2)^(2) | x cos pi x| dx = k//pi then the value of...

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  17. The value of the integral underset(0)overset(pi)int (xdx)/(1+cos alpha...

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  18. The value of lim( n to oo) ((1)/(n) + (n)/((n+1)^2) + (n)/( (n+2)^2) +...

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  19. The value of lim(n to oo)((1)/(1^(3)+n^(3))+(2^(2))/(2^(3)+n^(3))+.......

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  20. For any n in N, the value of the intergral underset(0)overset(pi)int (...

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