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If f(x)=int(0)^(x) log ((1-t)/(1+t)) dt,...

If `f(x)=int_(0)^(x) log ((1-t)/(1+t)) dt`, then discuss whether even or odd?

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The correct Answer is:
`phi(-t)=-phi(t),I .e . Phi(t)` is odd function
`phi(x)=int_(0)^(x) log ((1-t)/(1+t)) dt` is an even function.
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ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
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  16. The value of the integral int(-pi//2)^(pi//2) (x^(2) + log" (pi-x)/(pi...

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  20. For a in R ( the set of all real number) , a ne -1, lim(n to oo)((1^...

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  21. Consider the statements : P : There exists some x IR such that f(x)...

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