How do I compute the next integral: int sqrt( (x-1)/(x+1))dx ?

Aarav Atkins 2022-10-22 Answered
How do I compute the next integral:
x 1 x + 1 d x ?
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Answers (1)

Warkallent8
Answered 2022-10-23 Author has 16 answers
Let x 1 x + 1 = t. We then get that
x 1 x + 1 = t 2 x 1 = t 2 ( x + 1 ) x = 1 + t 2 1 t 2 d x = 4 t ( 1 t 2 ) 2 d t
Hence, we get that
x 1 x + 1 d x = 4 t 2 ( 1 t 2 ) 2 d t
I trust you can take it from here via the method of partial fractions.
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