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9*int(pi/2)((x-1)/(x^(2)))e^(x)dx...

9*int_(pi/2)((x-1)/(x^(2)))e^(x)dx

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int_(1)^(2)((1)/(x)-(1)/(x^(2)))e^(x)dx=e((e)/(2)-1)

int_(1)^(2)((1)/(x)-(1)/(x^(2)))e^(x)dx=e((e)/(2)-1)

int_(1)^(e) e^(x)((x-1)/(x^(2)))dx=

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

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

int_(-pi//4)^(pi//4)(e^(x)(x^(3)sinx))/(e^(2x)-1)dx equals

Examples: int_(-(pi)/(2))^((pi)/(2))(x sin x)/(e^(x)+1)dx

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The value of int_(-(pi)/(2))^((pi)/(2))(x^(2)cosx)/(1+e^(x))dx is

Show that int_(0)^(1)(e^(x))/(1+e^(2x))dx=tan^(-1)(e)-pi/(4)