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" 18."(e^(lan^(-1)x))/(1+x^(2))...

" 18."(e^(lan^(-1)x))/(1+x^(2))

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int_(-1)^(1)(e^(x)+e^(-x))/(2(1+e^(2x)))dx is equal to

(e^(2x)+2e^(x)+1)/(e^(x))

int_- 1^1(e^(-1/ x))/(x^2(1+e^(-2/ x)))dx is equal to :

The value of lim_(x rarr0)((e^(1/x^(2))-1)/(e^(1/x^(2)+1))) is :

int_(-1)^(1)(e^(-(1)/(x)))/(x^(2)(1+e^(-(2)/(x))))dx is equal to :

int_- 1^1(e^(-1/ x))/(x^2(1+e^(-2/ x)))dx is equal to :

int(2e^(5x)+e^(4x)-4e^(3x)+4e^(2x)+2e^(x))/((e^(2x)+4)(e^(2x)-1)^(2))dx= a) "tan"^(-1)(e^(x))/(2)-(1)/(e^(2x)-1)+C b) "tan"^(-1)e^(x)-(1)/(2(e^(2x)-1))+C c) "tan"^(-1)(e^(x))/(2)-(1)/(2(e^(2x)-1))+C d) 1-"tan"^(-1)((e^(x))/(2))+(1)/(2(e^(2x)-1))+C

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)

tan^(-1)((e^(2x)+1)/(e^(2x)-1))