常用积分表(Common integral table)Common integral formula
(a) containing the integral (axb+0a =) Formula 1.dxaxb+ = 1lnaxbCa++指数函数积分
2. = (axbx) + 11 (formula)
(1)
AxbCa + + + Mu
+
(U = 1.)
3.dxxaxb+ = formula
21 (LN) axbbaxbCa+.++
The 4.2dxxaxb+ formula (2) = 22311
(ln2axbbaxbbaxbCa..+.++++.)...
Five
(d)
Formula xxaxb+ = 1lnaxbCbx+
1
6.2d ()
Xxaxb+ = formula
21lnaaxbCbxbx+
Type
7.2d ()
Xxaxb+ = formula
21 (LN) baxbCaax+++
+
8.22d ()
Xxaxb+ = formula
231 (2ln) baxbbaxbCaa+.+.+ 9.2d ()
Xxaxb+ = formula
211ln ()
AxbCbaxbbx+
+
(two) an integral containing axb+
10.daxbx+ formula (= 32)
3axbCa++
Formula 11.dxaxbx+ = 322 (32) ()
15axbaxbCa.++
Formula 12.2dxaxbx+ = 222332 (15128) () 105axabxbaxbCa.+++
13.dxxaxb+ = formula
22 (2)
3axbaxbCa.+
Formula 14.2dxxaxb+ = 22232 (348)
15axabxbaxbCa.++
Fifteen
Dxxaxb+ = formula
1ln (0)
2arctan (0) AxbbCbbaxbbaxbCbbb.+. +>.
++..
1
+<....
16.2dxxaxb+ = formula D2axbaxbxbxaxb+
.
+ formula
17.daxbxx+ = formula D2xaxbbxaxb++
+ formula
18.2daxbxx+ = formula
D2axbaxxxaxb+
1
+ formula
(three) an integral containing 2xa +
19.22dxxa+ formula =1arctanxCaa+
20.22d (nxxa+) formula =2221222123d2 (1) (2) (1) (nnxnnaxanaxa..)
.
+
.+.+ formula
21.22dxxa. formula =1ln2xaCaxa.
+
+
(four) contains integral 2 (0axba+>
22.2dxaxb+ = formula
1arctan (0)

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