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The integral int(-1//2)^(1//2) ([x] + ln...

The integral `int_(-1//2)^(1//2) ([x] + l_n ((1 + x)/(1 - x)))dx` equals :

A

`-1/2`

B

`0`

C

`1`

D

`2 l_n (1/2)`

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The correct Answer is:
A
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MODERN PUBLICATION-DEFINITE INTEGRALS-MULTIPLE CHOICE QUESTIONS (LEVEL - II)
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  5. Let T > 0 be a fixed real number. Suppose f is a continuous function s...

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  10. If f(x) = (e^x)/(1 + e^x) , I1 = int(f(-a))^(f(a)) x g {x(1 - x)} dx a...

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  11. The value of the integral int0^1 sqrt((1 - x)/(1 + x))dx is :

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  12. If I(1) = int0^(1) 2^(x^(2)) dx, I(2) = int0^(1) 2^(x^(3)) dx, I(3) = ...

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  13. Let F : R to R be a differentiable function having : f(2) = 6, f'(2) =...

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  14. lim(n to oo) [1/(n^2) "sec"^2 1/(n^2) + 2/(n^2) "sec"^(2) 4/(n^2) + ……...

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  15. Let F(x) = f(x) + f(1/x), where , f(x) = int1^x (log t)/(1 + t) dt. Th...

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  16. The solution for x of the equation : int(sqrt2)^(x) (dt)/(tsqrt(t^2 - ...

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  17. Let I = int0^1 (sin x)/(sqrtx) dx and J = int0^1 (cos x)/(sqrtx) dx. T...

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  18. If I(m,n) = int0^1 t^m (1 + t)^n dt , m, n in R, then I(m, n) is :

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  19. If f(x) is differentiable and int0^(t^2) x f(x) dx = 2/5 t^5, then f (...

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