Evaluate the integerals.
`int (x.e ^(x))/((x+1)^(2)) dx on I sub R \\{-1}`

Evaluate the integerals. int(1)/(e ^(x)-1)dx

Evaluate the integerals. int (tan ^(-1)x)/(x ^(2))dx, x in I sub R \\{0}.

Evaluate the integerals. int (sec ^(2) x)/((1+tan x)^(3))dx on I sub R \\{n pi -(pi)/(4) : n in Z}.

Evaluate the integerals. int (sec x)/((sec x + tan x)^(2))dx on I sub R \\{(2 n +1) (pi)/(2): n in Z}.

Evaluate the integerals. int (cosec ^(2)x)/((a+b cot x)^(5)) dx on I sub R \\ { x in R : a +b cot x=0}, where a, b in R, b ne 0.

Evaluate the integerals. int (x ^(2) +1)/(x ^(4) +1) dx on R.

Evaluate the integerals. int (2x^(3))/(sqrt(1- x ^(8))) dx on R.

Evaluate the integerals. int e ^(x)(1+x^(2)) dx

Evaluate the integerals. int 2x e ^(x^(2))dx on R.

Evaluate the integerals. int e ^(x)(tan x + sec ^(2) x) dx on I sub R \\{(2n +1)(pi)/(2): n in Z}.