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If I = int0^(pi/4) log (1+ tan x) dx, th...

If `I = int_0^(pi/4) log (1+ tan x) dx`, then I =

A

`pi/8 log_(e)2`

B

`pi/4 log_(e)2`

C

`-pi/8 log_(e)2`

D

`-pi/4 log_(e)2`

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The correct Answer is:
A
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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
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  2. int0^(10) |x(x-1)(x-2)| dx is equal to

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  3. If I = int0^(pi/4) log (1+ tan x) dx, then I =

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  4. lim(n rarr oo) {1/n+1/(n+1)+1/(n+2)+…..+1/(3n)} =

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  5. If I = int(-pi)^(pi) (e^(sinx))/(e^(sinx)-e^(-sinx)) dx then I =

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  6. lim(x rarr oo) (int(0)^(2x) xe^(2)dx)/(e^(4x^(2))) equals :

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  7. The value of int(-2)^(2) { p log ((1+x)/(1-x))+ q log ((1-x)/(1+x))^(...

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  9. The area of the region bounded by the curve y^(2)=8x and the line y=2x...

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  10. The area bounded by y = 4x-x^(2) and x-axis is

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  12. The area bounded by x-axis and the curve y=4x-x^(2)-3 is

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  13. Area bounded by y = log x, the x-axis and the line x=2 is

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  17. The area enclosed between the parabola y=x^(2)-x+2 and the line y=x+2 ...

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