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CALCULO INTEGRAL SERE 2 METODOLOGIA, Schemes and Mind Maps of Network Technologies and TCP/IP

Cálculo Integral – Guía Completa con Teoría y Ejercicios Resueltos

Typology: Schemes and Mind Maps

2021/2022

Uploaded on 03/05/2025

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25𝑥5
5+10𝑥3
3+1·𝑥
(5𝑥2+1)𝑑𝑥 = (25𝑥4 +10𝑥2+1)𝑑𝑥
5𝑥5+10𝑥3
3+ 𝑥 + 𝑐
(5𝑥2)+2(5𝑥2)(1)
(3𝑥+2)(5𝑥2+7𝑥 + 1)𝑑𝑥
(15𝑥321𝑥2+3𝑥+10𝑥214 + 2)𝑑𝑥
(15𝑥311𝑥211𝑥+2)𝑑𝑥
Se reducen términos
semejantes
𝑥2+6𝑥1
𝑥 2 𝑑𝑥 = (𝑥 + 8 + 15
𝑥 2)𝑑𝑥
=𝑥2
2+8𝑥+ 15𝑑𝑥
𝑥 2
𝑥2
2+8𝑥+15 . 𝑙𝑛(𝑥 2)
𝑥2
2+8𝑥+𝑙𝑛(𝑥 2)+𝑐
𝑥2+ 6𝑥 1
x-2
−𝑥2+6𝑥
+8𝑥+1
−8𝑥+16
+1𝑥+8
+15
Cociente
máximo
Se voltea
el signo
𝑢: 𝑥 2 𝑑𝑢 =𝑑𝑥
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5

3

2

4

2

5

3

2

2

2

3

2

2

3

2

4

3

2

Se reducen términos

semejantes

2

2

2

2

2

x- 2

2

Cociente

máximo

Se voltea

el signo

1

2 ) 𝑑𝑥 = 𝑚

1

2 𝑥

1

2 𝑑𝑥

1

2 ∫ 𝑥

1

2 𝑑𝑥

1

2

3

2

1

2 ·

1

1

1

2

Alfredo Diaz Maldonado

Sergio Yair Sanches Álevaro