trigonometric substitutions example 7


This is what you would input:

1 / (x sqrt[1-x^2]) 

[Graphics:Images/trig_sub_7_gr_1.gif]
[Graphics:Images/trig_sub_7_gr_2.gif]
[Graphics:Images/trig_sub_7_gr_3.gif]
[Graphics:Images/trig_sub_7_gr_4.gif]
[Graphics:Images/trig_sub_7_gr_5.gif]
[Graphics:Images/trig_sub_7_gr_6.gif]
[Graphics:Images/trig_sub_7_gr_7.gif]
[Graphics:Images/trig_sub_7_gr_8.gif]
[Graphics:Images/trig_sub_7_gr_9.gif]
[Graphics:Images/trig_sub_7_gr_10.gif]
[Graphics:Images/trig_sub_7_gr_11.gif]
[Graphics:Images/trig_sub_7_gr_12.gif]
[Graphics:Images/trig_sub_7_gr_13.gif]
[Graphics:Images/trig_sub_7_gr_14.gif]
[Graphics:Images/trig_sub_7_gr_15.gif]
[Graphics:Images/trig_sub_7_gr_16.gif]
[Graphics:Images/trig_sub_7_gr_17.gif]
[Graphics:Images/trig_sub_7_gr_18.gif]
[Graphics:Images/trig_sub_7_gr_19.gif]
[Graphics:Images/trig_sub_7_gr_20.gif]
[Graphics:Images/trig_sub_7_gr_21.gif]
[Graphics:Images/trig_sub_7_gr_22.gif]
[Graphics:Images/trig_sub_7_gr_23.gif]
[Graphics:Images/trig_sub_7_gr_24.gif]
[Graphics:Images/trig_sub_7_gr_25.gif]
[Graphics:Images/trig_sub_7_gr_26.gif]
[Graphics:Images/trig_sub_7_gr_27.gif]
[Graphics:Images/trig_sub_7_gr_28.gif]
[Graphics:Images/trig_sub_7_gr_29.gif]
[Graphics:Images/trig_sub_7_gr_30.gif]
[Graphics:Images/trig_sub_7_gr_31.gif]

Converted by Mathematica      February 6, 2000