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" II."int(0)^( pi/4)log(1+tan x)dx=...

" II."int_(0)^( pi/4)log(1+tan x)dx=

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int_(0)^(pi//4)log(1+tanx)dx=

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By using the properties of definite integrals, evaluate the integrals int_(0)^(pi/4)log (1 +tan x) dx

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi/4)log (1+ tan x) dx

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int_(0)^((pi)/(2))log(tan x)*dx

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Prove that int_(0)^(a)(x)dx = int_(0)^(a) f(a-x)dx and hence evaluate int_(0)^(pi/4)log (1 + tan x)dx .