2011-02-22, 08:15 PM
^ uh...
better substitution:
u = e^x + 1
du = e^x dx
the problem becomes:
integral: csc u du
= ln ( csc u + cot u ) +C <~ this integral is usually given to you in your book.
proof here: http://answers.yahoo.com/question/index?...623AAUQMz6
(first part only)
Now substite u = e^x +1 back in.
= ln ( csc(e^x +1) + cot(e^x +1) +C
better substitution:
u = e^x + 1
du = e^x dx
the problem becomes:
integral: csc u du
= ln ( csc u + cot u ) +C <~ this integral is usually given to you in your book.
proof here: http://answers.yahoo.com/question/index?...623AAUQMz6
(first part only)
Now substite u = e^x +1 back in.
= ln ( csc(e^x +1) + cot(e^x +1) +C