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int(0)^( pi)(e^(cos n))/(e^(cos x)+e^(-c...

int_(0)^( pi)(e^(cos n))/(e^(cos x)+e^(-cos n))du

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int_(0)^(pi)(e^(cos x))/(e^(cos x)+e^(-cos x))dx=

int_(0)^(pi//2)(e^(sin x))/(e^(sin x)+e^(cos x))dx=

int_(0)^( pi/2)e^(x)cos xdx

int_(0)^( pi/2)e^(x)cos xdx

int_ (0) ^ (pi) (e ^ (cos x)) / (e ^ (cos x) + e ^ (- cos x)) dx =

int_(0)^( pi)(1)/(1+e^(cos x))dx

int_(0)^( pi/2)e^(x)(sin x-cos x)dx

int_(0)^(pi//2)(e^(sin x)- e^(cos x)))dx=

int_(0)^(pi//4)(e^(tanx))/(cos^(2)x)dx=