How might you sort these integrals into different types?


ó
õ 		1
1+x2
 dx       ó
õ 		1
1-x2
  dx

ó
õ 		1
(1+x)2
  dx       ó
õ 		1
(1-x)2
  dx

ó
õ 		1
1+x
  dx       ó
õ 		1
1-x
  dx

ó
õ 		1
  ___
Ö1+x
  dx       ó
õ 		1
  ___
Ö1-x
  dx

ó
õ 		  ____
Ö1+x2
 
  dx       ó
õ 		  ____
Ö1-x2
 
  dx

ó
õ 		  ___
Ö1+x
 
 dx       ó
õ 		  ___
Ö1-x
 
  dx
How might you arrange the integrals if in each case we make the alteration

ó
õ 		f(x) dx ® ó
õ 		f(sin(x)) dx