Integration practice I
Important note: In this document
means natural logarithm. For other bases, a subscript is used to indicate the base, for example logarithm base 10 of x is denoted
.
1
![[Graphics:Images/integration_gr_3.gif]](Images/integration_gr_3.gif)
2
![[Graphics:Images/integration_gr_4.gif]](Images/integration_gr_4.gif)
3
![[Graphics:Images/integration_gr_5.gif]](Images/integration_gr_5.gif)
0
![[Graphics:Images/integration_gr_6.gif]](Images/integration_gr_6.gif)
0
![[Graphics:Images/integration_gr_7.gif]](Images/integration_gr_7.gif)
0
![[Graphics:Images/integration_gr_8.gif]](Images/integration_gr_8.gif)
0
![[Graphics:Images/integration_gr_9.gif]](Images/integration_gr_9.gif)
0 Mathematica doesn't give the following integral in the expected form! I took the difference with the expected answer, and found a constant.
![[Graphics:Images/integration_gr_10.gif]](Images/integration_gr_10.gif)
![[Graphics:Images/integration_gr_11.gif]](Images/integration_gr_11.gif)
0
![[Graphics:Images/integration_gr_12.gif]](Images/integration_gr_12.gif)
0
![[Graphics:Images/integration_gr_13.gif]](Images/integration_gr_13.gif)
0
![[Graphics:Images/integration_gr_14.gif]](Images/integration_gr_14.gif)
0
![[Graphics:Images/integration_gr_15.gif]](Images/integration_gr_15.gif)
0
![[Graphics:Images/integration_gr_16.gif]](Images/integration_gr_16.gif)
0
![[Graphics:Images/integration_gr_17.gif]](Images/integration_gr_17.gif)
0
![[Graphics:Images/integration_gr_18.gif]](Images/integration_gr_18.gif)
0
![[Graphics:Images/integration_gr_19.gif]](Images/integration_gr_19.gif)
0
![[Graphics:Images/integration_gr_20.gif]](Images/integration_gr_20.gif)
0
![[Graphics:Images/integration_gr_21.gif]](Images/integration_gr_21.gif)
0
![[Graphics:Images/integration_gr_22.gif]](Images/integration_gr_22.gif)
0
![[Graphics:Images/integration_gr_23.gif]](Images/integration_gr_23.gif)
0 Make the substitution u =
.
![[Graphics:Images/integration_gr_25.gif]](Images/integration_gr_25.gif)
0 In the following, make the substitution u = x+ 3.
![[Graphics:Images/integration_gr_26.gif]](Images/integration_gr_26.gif)
Converted by Mathematica
May 1, 2000