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[[" (a) "e^(2)-1," (b) "e^(4)-1," (c) "e-1," (d) "e^(4)],[" The following integral "int_(pi/4)^( pi/2)(2csc x)^(17)dx" is equal to: "," IJEE Advanced,"2014],[" (a) "int_(0)^(ln(1+sqrt(2)))2(e^(u)+e^(-u))^(16)du," (b) "int_(0)^(ln(1+sqrt(2)))(e^(u)+e^(-u))^(17)du],[" (a) "int_(0)^(ln(1+sqrt(2)))(e^(u)-e^(-u))^(17)du," (d) "int_(0)^(ln(1+sqrt(2)))2(e^(u)-e^(-u))^(16)du]]

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The following integral int_(pi/4)^(pi/2)(2cos e cx)^(17)dx is equal to (a)int_0^("log"(1+sqrt(2)))2(e^u+e^(-u))^(16)d u (b)int_0^("log"(1+sqrt(2)))2(e^u+e^(-u))^(17)d u (c)int_0^("log"(1+sqrt(2)))2(e^u-e^(-u))^(17)d u (d)int_0^("log"(1+sqrt(2)))2(e^u-e^(-u))^(16)d u

int_(0)^(ln13)(e^(x)sqrt(e^(x)-1))/(e^(x)+3)dx

int_(0)^(log 2)(e^(x))/(1+e^(x))dx=

int_(0)^(log 2)(e^(x))/(1+e^(x))dx=

int_(2)^(3)u sqrt(5-u)du

int_(0)^(log5)(e^(x)sqrt(e^(x)-1))/(e^(x)+3)dx=

int(1)/(sqrt(u))du

The integral int_(1)^(e){((x)/(e))^(2x)-((e)/(x))^(x)} "log"_(e)x dx is equal to