Integrating by Substitution


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


example 1
[Graphics:Images/substitution_gr_1.gif]


This is what you would input:

1 / (2x + 3)^2


example 2
[Graphics:Images/substitution_gr_2.gif]


This is what you would input:

x^2 (1 + x^3)^100


example 3
[Graphics:Images/substitution_gr_3.gif]


This is what you would input:

x^3 (2 + x^4)^2 (1 + (2 + x^4)^3)^4


example 4
[Graphics:Images/substitution_gr_4.gif]


This is what you would input:

(x + 1) / (x^2 + 2x + 3)


example 5
[Graphics:Images/substitution_gr_5.gif]


This is what you would input:

(1 + sin[x])^7 cos[x]


example 6
[Graphics:Images/substitution_gr_6.gif]


This is what you would input:

sin[log[x]] / x


example 7
[Graphics:Images/substitution_gr_7.gif]


This is what you would input:

x e^x^2


example 8
[Graphics:Images/substitution_gr_8.gif]


This is what you would input:

log[arctan[x]] / (x^2+1)


example 9
[Graphics:Images/substitution_gr_9.gif]


This is what you would input:

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


example 10
[Graphics:Images/substitution_gr_10.gif]


This is what you would input:

1 / (x^(1/2) + x^(1/4))


example 11
[Graphics:Images/substitution_gr_11.gif]


This is what you would input:

cos[x] / (sin[x] + cos[x]^2)


example 12
[Graphics:Images/substitution_gr_12.gif]


This is what you would input:

F[x] (F[x] + 1)^3 F'[x]


Converted by Mathematica      February 20, 2000