Integrating with Trig Substitutions


Take a look at these pre-made integration examples first.
Then get your own integrals instantly!


example 1
[Graphics:Images/trig_substitution_gr_1.gif]


This is what you would input:

sqrt[1-x^2]


example 2
[Graphics:Images/trig_substitution_gr_2.gif]


This is what you would input:

sqrt[x^2+1]


example 3
[Graphics:Images/trig_substitution_gr_3.gif]


This is what you would input:

sqrt[x^2-1]


example 4
[Graphics:Images/trig_substitution_gr_4.gif]


This is what you would input:

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


example 5
[Graphics:Images/trig_substitution_gr_5.gif]


This is what you would input:

x^2 / sqrt[x^2+1]


example 6
[Graphics:Images/trig_substitution_gr_6.gif]


This is what you would input:

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


example 7
[Graphics:Images/trig_substitution_gr_7.gif]


This is what you would input:

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


example 8
[Graphics:Images/trig_substitution_gr_8.gif]


This is what you would input:

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


example 9
[Graphics:Images/trig_substitution_gr_9.gif]


This is what you would input:

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


example 10
[Graphics:Images/trig_substitution_gr_10.gif]


This is what you would input:

1 / (x sqrt[1-x^2]^3)


example 11
[Graphics:Images/trig_substitution_gr_11.gif]


This is what you would input:

1 / (x sqrt[x^2+1]^3)


example 12
[Graphics:Images/trig_substitution_gr_12.gif]


This is what you would input:

1 / (x sqrt[x^2-1]^3)


Converted by Mathematica      February 20, 2000