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The value of the integral int(0)^(pi//2)...

The value of the integral `int_(0)^(pi//2)log |tanx| dx` is

A

`pi log 2`

B

0

C

`-pi log 2`

D

None of these

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The correct Answer is:
B
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 20-PAPER 2 (Mathematics)
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  2. The area bounded by the hyperbola x^(2)-y^(2)=4 between the lines x=2 ...

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  3. The value of the integral int(0)^(pi//2)log |tanx| dx is

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  4. Find the point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance of 3s...

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  5. The value of int(-pi//2)^(pi//2) log""((2-sintheta)/(2+sintheta))d the...

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  6. The equation of the line bisecting perpendicularly the semgent joining...

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  7. 14. A line passes through the point of intersection of the lines 100x ...

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  8. If A, B and C are three sets such that A nn B = A nn C and AuuB = A uu...

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  9. Let R={(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation the set ...

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  10. A man saves Rs. 200 in each of the first three months of his service. ...

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  11. If I(1)=int(0)^(pi//2) x sin x dx and I(2) = int(0)^(pi//2) x cos x d...

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  12. lim(x to 1 ) (log ex)^(1//logx) is equal to

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  13. The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greate...

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  14. The derivative of cos^(3)x w.r.t. sin^(3)x is

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  15. The equation of the tangent to the curve x=2cos^(3) theta and y=3sin^(...

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  16. The maximum value of Z = 4x + 2y subject to the constraints 2x+3y le ...

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  17. If f(x)=sin xl e^(x) in [0,pi] then f(x)

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  18. Force of magnitudes 3 and 4 units acting along 6 hati + 2hat j + 3hatk...

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  19. The point of intersaction of the line (x-1)/(2)=(y-2)/(-3)=(z+3)/(4) a...

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  20. The equation of curve whose tangent at any point on it different form ...

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