Math Problem Statement
Integre las siguietes funciones mediante el método por sustitución realizando el cambio de variable adecuado. a) ∫(2𝑥 − 4) 𝑑𝑥 b) ∫ 2𝑥 ଷ(𝑥 ସ + 8) 𝑑𝑥 c) ∫ ௫ (ଵା௫) య ర 𝑑𝑥 d) ∫ 20𝑥 ∙ 𝑒 ହ௫ మ 𝑑𝑥 e) ∫ cosଶ(𝑡) ∙ 𝑠𝑒𝑛(𝑡) 𝑑𝑡 f) ∫(2𝑥 +1)(𝑥ଶ +𝑥)ଷ 𝑑𝑥g) ∫ 8𝑥 ଷ ∙ 𝑠𝑒𝑛(6𝑥 ସ) 𝑑𝑥 h) ∫ ௫ మାଶ௫ √௫యାଷ௫మାଵ య 𝑑𝑥 i) ∫ ଷ௦ ହ௦మାଵ 𝑑� resuelve el apartado a)
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Integration by Substitution
Change of Variables
Formulas
∫ f(g(x))g'(x) dx = ∫ f(u) du
Power rule for integrals: ∫ u^n du = u^(n+1)/(n+1)
Theorems
Fundamental Theorem of Calculus
Substitution Method in Integration
Suitable Grade Level
Undergraduate Calculus