Formulario de integrales PDF

Title	Formulario de integrales
Author	Sixto Ramirez Castañeda
Course	Algebra I
Institution	Instituto Politécnico Nacional
Pages	1
File Size	131.3 KB
File Type	PDF
Total Downloads	51
Total Views	126

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Summary

Formulario...

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Formulario de Integrales Inmediatas Fórmulas: 1. ‫ 𝒖𝒅 ׬‬+ 𝒅𝒗 − 𝒅𝒘

Trigonométricas

= ‫ 𝒖𝒅 ׬‬+ ‫ 𝒗𝒅 ׬‬− ‫𝒘𝒅 ׬‬

7.

‫ = 𝒗𝒅 𝒗 𝒏𝒂𝒕 ׬‬− 𝒍𝒏 𝒄𝒐𝒔 𝒗 + 𝑪 = 𝐥𝐧 𝐬𝐞𝐜 𝒗 + 𝑪

‫ 𝒗 𝒏𝒆𝒔 = 𝒗𝒅 𝒗 𝒔𝒐𝒄 ׬‬+ 𝑪

8.

‫ 𝒗 𝒏𝒆𝒔 𝒏𝒍 = 𝒗𝒅 𝒗 𝒕𝒐𝒄 ׬‬+ 𝑪

3.

‫ 𝒗 𝒏𝒂𝒕 = 𝒗𝒅 𝒗 𝟐𝒄𝒆𝒔 ׬‬+ 𝑪

9.

‫ 𝒗 𝐜𝐞𝐬 𝐧𝐥 = 𝒗𝒅 𝒗 𝐜𝐞𝐬 ׬‬+ 𝐭𝐚𝐧 𝒗 + 𝐂

4.

‫ = 𝒗𝒅 𝒗 𝟐𝒄𝒔𝒄 ׬‬− 𝒄𝒐𝒕 𝒗 + 𝑪

10. ‫ 𝒗 𝐜𝐬𝐜 𝐧𝐥 = 𝒗𝒅 𝒗 𝐜𝐬𝐜 ׬‬− 𝐜𝐨𝐭 𝒗 + 𝐂

5.

‫ 𝒗 𝒄𝒆𝒔 = 𝒗𝒅 𝒗 𝒏𝒂𝒕 𝒗 𝒄𝒆𝒔 ׬‬+ 𝑪

6.

‫ = 𝒗𝒅 𝒗 𝒕𝒐𝒄 𝒗 𝒄𝒔𝒄 ׬‬− 𝒄𝒔𝒄 𝒗 + 𝑪

Fórmulas:

2.

‫𝒗𝒅 ׬ 𝒂 = 𝒗𝒅 𝒂 ׬‬

1.

‫ = 𝒗𝒅 𝒗 𝒏𝒆𝒔 ׬‬− 𝒄𝒐𝒔 𝒗 + 𝑪

3.

‫ 𝒙 = 𝒙𝒅 ׬‬+ 𝑪

2.

4.

‫= 𝒙𝒅 𝒏𝒙 ׬‬

5.

‫= 𝒗𝒅 𝒏𝒗 ׬‬

6.

‫׬‬

7.

‫= 𝒗𝒅 𝒗𝒂 ׬‬

8.

‫ 𝒗𝒆 = 𝒗𝒅 𝒗𝒆 ׬‬+ 𝑪

𝒅𝒗 𝒗

𝒙𝒏+𝟏

+ 𝑪, 𝒏 ≠ −𝟏

𝒏+𝟏

𝒗𝒏+𝟏 + 𝒏+𝟏

𝑪, 𝒏 ≠ −𝟏

= 𝒍𝒏 𝒗 + 𝑪 𝒂𝒗 𝐥𝐧 𝒂

+𝑪

Integrales con expresiones de la forma 𝒗𝟐

± 𝒂𝟐 ,

Fórmulas: 𝒅𝒗

𝒗 𝟏 𝒂𝒓𝒄 𝐭𝐚𝐧 𝒂 + 𝒂

𝒅𝒗

𝒗−𝒂 𝟏 𝐥𝐧 𝒗+𝒂 𝟐𝒂

1.

‫𝟐𝒗 ׬‬+ 𝒂𝟐 =

2.

‫𝟐𝒗 ׬‬−𝒂𝟐 =

3.

‫ 𝟐𝒂 ׬‬− 𝒗𝟐 =

4.

‫׬‬

𝒅𝒗

𝒅𝒗 𝒂𝟐

−𝒗

𝒂+𝒗 𝟏 𝐥𝐧 𝒂−𝒗 𝟐𝒂

+𝑪 𝒗

= 𝒂𝒓𝒄 𝒔𝒆𝒏 𝒂 + 𝑪 𝟐

𝒅𝒗

= 𝐥𝐧 𝒗 +

5.

‫׬‬

6.

‫׬‬

7.

‫ 𝟐𝒂 ׬‬− 𝒗𝟐 𝒅𝒗 =

8.

‫ 𝟐𝒗 ׬‬± 𝒂𝟐 𝒅𝒗 =

𝑪

+𝑪

𝒗𝟐 ± 𝒂𝟐 ,

𝒂𝟐 − 𝒗 𝟐 , 𝒗𝟐

± 𝒂𝟐

𝒅𝒗 𝒗 𝒗𝟐 − 𝒂𝟐

=

𝒂𝟐 − 𝒗 𝟐 𝒗 𝟐 ± 𝒂𝟐 + 𝑪

𝒗 𝟏 𝒂𝒓𝒄 𝒔𝒆𝒄 𝒂 + 𝒂

𝒗 𝟐

𝒗 𝟐

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𝑪

𝒂𝟐 − 𝒗 𝟐 + 𝒗𝟐 ± 𝒂𝟐 ±

𝒂𝟐 𝟐

𝒂𝟐 𝐥𝐧 𝟐

𝒗 𝒂

𝐚𝐫𝐜 𝐬𝐞𝐧 + 𝑪 𝒗+

Cálculo Integral

𝒗𝟐 ± 𝒂𝟐 + 𝑪...