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int(0)^((pi)/(2))log(tanx)dx=0...

`int_(0)^((pi)/(2))log(tanx)dx=0`

A

`(pi)/2log_(e)2`

B

`-(pi)/2log_(e)2`

C

`pilog_(e)2`

D

0

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The correct Answer is:
D
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TARGET PUBLICATION-DEFINITE INTEGRALS-CRITICAL THINKING
  1. If [x] denotes the greatest integer less than or equal to x , then fin...

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  2. int(0)^((pi)/(2))(cosx-sinx)/(1+sinxcosx)dx

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  3. int(0)^((pi)/(2))log(tanx)dx=0

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  4. The value of the integral overset(2a)underset(0)int (f(x))/(f(x)+f(2a-...

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  5. The value of int(0)^(pi//2)(1000^(sinx))/(1000^(sinx)+1000^(cosx))dx i...

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  6. int(0)^(pi//2) e^(x^(2))/(e^(x^(2)+ e^((pi/2-x)^(2))))dx=

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  7. int(0)^(pi//2)(sin^(3//2)x)/(sin^(3//2)x+cos^(3//2)x)dx

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  8. The value of int(0)^(pi//2)(dx)/(1+tan^(3)x) is

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  9. The value of int(0)^(pi)e^(cos^(2)x)cos^(5)3x dx is

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  10. The value of int(0)^(pi//2)lot((4+3sinx)/(4+3cosx))dx is

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  11. underset(0)overset(pi//2)int (d theta)/(1+tantheta)=

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  12. Evaluate the following : int(0)^(pi)x sin^(3)x dx

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  13. int(0)^((pi)/(2))log(sinx)dx=int(0)^((pi)/(2))log(cosx)dx=(pi)/(2)log....

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  14. int0^pixlogsinx dx

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  15. The value of int(0)^(pi//4) log (1+ tan theta ) d theta is equal to

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  16. The value of int0 1tan^(-1)((2x-1)/(1+x-x^2))dx is (A) 1 (B) 0 (C) -1 ...

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  17. int(0)^(pi)(x tanx)/(sec x +tan x)dx

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  18. Evaluate the following : int(pi//6)^(pi//3)(1)/(1+sqrt(cotx))dx

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  19. If f(a+b - x) = f(x) , then int(a)^(b) x f(x) dx is equal to

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  20. If f(x)=f(2-x) then int(0. 5)^1.5 xf(x)dx=

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