積分表是在積分計算中為了使用與方便,把常用的積分公式匯集成的一種數學用表。積分表是按照被積函式的類型來排列的。求積分時,可根據被積函式的類型直接地或經過簡單變形後,在表內查得所需結果。
基本介紹
- 中文名:積分表
- 外文名:integral table
- 學科:數學、微積分
- 分類:有理函式、無理函式積分表等
- 用途:數學用表
- 排列方式:按被積函式的類型
簡介,內容分類,具體內容,
簡介
積分的計算要比導數的計算靈活、複雜,為了實用的方便,往往把常用的積分公式匯集成表,這種表叫作積分表。求積分時,可根據被積函式的類型,在積分表內查得其結果,有時還要經過簡單變形才能在表內查得所需的結果。
內容分類
積分表被分為以下幾個部分:
- 有理函式積分表
- 無理函式積分表
- 三角函式積分表
- 指數函式積分表
- 對數函式積分表
- 反三角函式積分表
- 雙曲函式積分表
- 反雙曲函式積分表
具體內容
(1)含有
的積分:
![](/img/2/f0e/3d0cf447116e5ac0495dab016ea1.jpg)
![](/img/b/a5d/94c12dd23a3d6e329b460600e837.jpg)
![](/img/f/f3e/66eda6ac1022d2832301ec65adfc.jpg)
![](/img/6/e62/bbfd09f0e58ef9f7ca09e88dd23d.jpg)
![](/img/c/be9/396f788abb4ea9db7099f105ab2b.jpg)
![](/img/2/212/2da6cb84c6134ae58bc8214407a2.jpg)
(2)含有
的積分:
![](/img/7/199/1814c21a750a64f6b619c9bd323d.jpg)
![](/img/2/1fb/9bda555b4d63a08286dd1a818515.jpg)
![](/img/9/0bc/45ff69243d23357561a2d18c1b6a.jpg)
![](/img/6/b1a/8e73c76ad4dc5a1c0a84c2344a17.jpg)
![](/img/7/02c/eccbf6e24fda7e11fa81b0e81aa3.jpg)
![](/img/d/bbe/61fb843ec61cc19004b237dcd47b.jpg)
![](/img/7/215/afb06757dfd515c20e89526365cc.jpg)
![](/img/d/4bc/67e1139cd2e735d78bd802a79bab.jpg)
(3)含有
的積分:
![](/img/c/d2d/e8b7eb92a01935fa1085c0c1ebe3.jpg)
![](/img/8/34c/c8c9a9827731a9124819e9be534c.jpg)
![](/img/d/089/bef7dc428787dd85dbd4728ffcbb.jpg)
(4)含有
的積分:
![](/img/b/1cf/9ce75041eee86f186033c554f282.jpg)
![](/img/d/334/ab2e6fc0763c57f044ea303489b2.jpg)
(5)含有
的積分:
![](/img/5/89a/22fbb0bd0281a20de73719819bb3.jpg)
![](/img/b/205/b3af41b085614a547030f4661f9c.jpg)
(6)含有
的積分:
![](/img/8/955/e508d9a303bc3e936f60f7ca3e8d.jpg)
![](/img/b/b81/c9dd9bc2391a5fc505a855ac9126.jpg)
![](/img/8/839/11a8478217413f72b1a1a2ec8317.jpg)
![](/img/2/157/59babbdbfa242d94ef1add1dafc7.jpg)
![](/img/d/1ee/a90a899f3346c8eda9453e9b33a9.jpg)
![](/img/6/7fa/baadc17d94fd343620d783ca2eb5.jpg)
![](/img/5/b8f/cc6e010d4d91c6ba1cd06ddbeaea.jpg)
![](/img/f/69d/463838e4e786ed7a0f306a1a6292.jpg)
(7)含有
的積分:
![](/img/d/796/9025470431ed47a8a66dd238a025.jpg)
![](/img/f/b7b/69b6cd8fd40928d9d67167d57176.jpg)
(8)含有
的積分:
![](/img/1/e62/018184efc5432f06e0c01f7929ea.jpg)
![](/img/c/8f7/fa488fe771550db51e861515c7a9.jpg)
![](/img/c/71c/0bc3b8dfe1cff09165a9447195c0.jpg)
![](/img/8/901/02e0f341336aa27ed41c28596bed.jpg)
![](/img/b/571/f87e084802c89c90d90db70476e6.jpg)
![](/img/1/c61/070c6ee8e69c9d7ed65a49f73e41.jpg)
![](/img/2/2f1/1ad293ff9bba5dab3b967fa98ab4.jpg)
![](/img/6/793/327b971a214bec93bf1d917f3ecc.jpg)
(9)含有
的積分:
![](/img/0/e8f/22054de2d4dd6ffe698aa4d660ff.jpg)
![](/img/6/1b1/aaed983ef8ef505691275f5ca739.jpg)
![](/img/b/42b/c2b28d4ec1fd056f8efa1895d4ed.jpg)
![](/img/b/84a/6f8e9b68e49639878d132634abfe.jpg)
![](/img/4/0e9/57c2a6dd45f560a06095b32e3d19.jpg)
![](/img/f/bca/16f51080be541a393b50c9a6acfd.jpg)
![](/img/3/f69/aff3b4bf9473fa7f6dc7e22d6db8.jpg)
![](/img/f/3f9/42197ff1e40e36947d045adacf2c.jpg)
![](/img/d/66d/9ec4930d21fc6083e12e431da903.jpg)
![](/img/8/a27/643114433ad1fa719a3a97a98720.jpg)
![](/img/4/eca/be9e92ec611ca6e5e740df2c3ccb.jpg)
![](/img/0/c01/02890c8f16e59eb253b519bb2ec3.jpg)
(10)含有三角函式的積分:
![](/img/d/4b6/5c7b481719f4a30d8d71b7c7f9cb.jpg)
![](/img/5/46e/d95be4e37639ecd6a38dba20c401.jpg)
![](/img/5/f64/c081cdfa65cbc89f6d122d4628db.jpg)
![](/img/7/0b7/0caea580864637d1f2e3d6c6e38a.jpg)
![](/img/5/af4/1ba2afab75bf8657b1a1acc4b498.jpg)
![](/img/0/f48/944f1d3870fab27526988617c4aa.jpg)
![](/img/a/fdf/b9639ab5f7c2d8a01f61b25d8fc7.jpg)
![](/img/8/6d5/39d245a3a3854120ce05b764b827.jpg)
![](/img/3/645/da10c6754fb1f9a14caae5457a0e.jpg)
![](/img/c/361/b8399fd6db408a662f480e70da8a.jpg)
![](/img/3/1c3/f170c9407dec86d202d64dc01e59.jpg)
![](/img/2/669/d9290c9a2984ef93abdaf9d1116f.jpg)
![](/img/c/5cb/f0a70a672f7dfce46fa2f59298d2.jpg)
![](/img/0/ba1/c9fb9dd962cc59aeb442ff4bd6aa.jpg)
![](/img/0/746/26dec2a7eddfd6992344005cdb3c.jpg)
![](/img/1/7ad/ee73995d8ea0c516cf8c2443c443.jpg)
![](/img/e/0c5/2c9d39fe09e92462cfc097ca1ba8.jpg)
![](/img/e/a71/d2fc40ce869b6484b4c3de5c3360.jpg)
![](/img/2/58d/966354b95ca90f23657102dc7381.jpg)
(11)含有反三角函式的積分:
![](/img/b/73f/fef9fc4d201d2333a6883b2c57b3.jpg)
![](/img/5/216/80c393b762bf6843deb24560d0cd.jpg)
![](/img/0/063/f3040991dd012032a07e4a991ef5.jpg)
![](/img/0/d9d/2cdad35e7b6a1c02253fc019d4c7.jpg)
![](/img/5/015/7e5f9d2f96d41403db651cff906e.jpg)
(12)含有指數函式的積分:
![](/img/4/f1f/3084e549c8fdf71e01c10b04a6eb.jpg)
![](/img/e/04d/c25772f3b3e16cfae7b0e1e48d5e.jpg)
![](/img/8/3c5/200ce736d3d00120b8e62d673a87.jpg)
![](/img/1/e89/627fd0cb2b42f9eb11e2103d9da1.jpg)
![](/img/8/50b/5813e4664911fc0b532c39bb6e27.jpg)
(13)含有對數函式的積分:
![](/img/4/63e/97cd61250e1cb8e61392c9159c96.jpg)
![](/img/c/a75/8b27031d43d57cbd247070b161fe.jpg)
![](/img/6/f52/8cf489fa4190fc5fcf63b8270520.jpg)
![](/img/1/4a2/fa43bd3496e1bf1ab67f0ed07ec8.jpg)
(14)含有雙曲函式的積分:
![](/img/e/f69/e8bf6d84f1f523788298d03137fe.jpg)
![](/img/d/8ef/df4f5ea425968ccd5f6be84aeb3c.jpg)
![](/img/5/10b/011aae02e098acc639c46b4da6a9.jpg)
![](/img/f/f88/1f891d1365602eadeef353b6525e.jpg)
![](/img/6/1a0/d2780f6f16b41cd721bce15597bb.jpg)