Podcast
Questions and Answers
Calcula le integral: √(2x + 1)²⁰ dx
Calcula le integral: √(2x + 1)²⁰ dx
1/21 * (2x + 1)²¹ + C
Calcula le integral: dx / (x² + a²)
Calcula le integral: dx / (x² + a²)
1/a * arctg( x/a ) + C
Calcula le integral: dx / √(a² - x²)
Calcula le integral: dx / √(a² - x²)
arcsin( x/a ) + C
Calcula le integral: √(a² - x²) dx
Calcula le integral: √(a² - x²) dx
Calcula le integral: tgx dx
Calcula le integral: tgx dx
Calcula le integral: dx / (x-1)^4
Calcula le integral: dx / (x-1)^4
Calcula le integral: sinx d(sinx)
Calcula le integral: sinx d(sinx)
Calcula le integral: (x + 1)^15 dx
Calcula le integral: (x + 1)^15 dx
Calcula le integral: cos3x d(3x)
Calcula le integral: cos3x d(3x)
Calcula le integral: cos(1 - 2x) dx
Calcula le integral: cos(1 - 2x) dx
Calcula le integral: ax^(3x) dx
Calcula le integral: ax^(3x) dx
Calcula le integral: dx / √(1 - 25x²)
Calcula le integral: dx / √(1 - 25x²)
Flashcards
Integral de (2x + 1) dx
Integral de (2x + 1) dx
L'integral de (2x + 1) es x^2 + x + C.
Integral de x² + a²
Integral de x² + a²
L'integral es a * arctg(x/a) + C.
Integral de a² - x²
Integral de a² - x²
L'integral es a * arcsin(x/a) + C.
Integral de 1 + 9x²
Integral de 1 + 9x²
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Formula de integración por partes
Formula de integración por partes
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Integral de e^(-3x)
Integral de e^(-3x)
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Integral de cos(3x)
Integral de cos(3x)
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Integral de sin(3x)
Integral de sin(3x)
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Integral de 1
Integral de 1
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Criterio de convergencia de Cauchy
Criterio de convergencia de Cauchy
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Integral de l x dx
Integral de l x dx
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Criterio de D'Alembert
Criterio de D'Alembert
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Integral de 4 - 9x²
Integral de 4 - 9x²
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Integral de 1 + 4x²
Integral de 1 + 4x²
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Integral de 1 + x^2
Integral de 1 + x^2
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Integral de (x - 1)^4
Integral de (x - 1)^4
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Integral dual
Integral dual
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Ecuación diferencial homogénea
Ecuación diferencial homogénea
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Conjunto de convergencia
Conjunto de convergencia
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Integral de f'(x)
Integral de f'(x)
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Valor de C en integrales
Valor de C en integrales
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Solución a y'' - 2y' + 3y = 0
Solución a y'' - 2y' + 3y = 0
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Sistema de ecuaciones lineales
Sistema de ecuaciones lineales
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Método de separación de variables
Método de separación de variables
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Diferenciación implícita
Diferenciación implícita
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Integral de cos(x) dx
Integral de cos(x) dx
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Integral de tan(x) dx
Integral de tan(x) dx
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Study Notes
Calculus Problems and Solutions
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Indefinite Integrals: Numerous problems involving finding indefinite integrals with various functions, including polynomials, trigonometric functions, and inverse trigonometric functions. Solutions provided in the form of expressions, plus an integration constant 'c'.
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Definite Integrals: Problems focus on calculating definite integrals, often covering basic functions and techniques. Solutions provide numerical results.
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Trigonometric Integrals: Specific examples of integrating trigonometric functions (e.g., sin x, cos x, tan x). Various problem types shown, including simple and composite trigonometric functions.
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Inverse Trigonometric Integrals: Problems involving integration of inverse trigonometric functions (e.g., arcsin, arccos, arctan). Detailed solutions presented for these examples.
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Integration by Substitution: Problems demonstrate the application of the integration by substitution method for various functions, providing step-by-step solutions.
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Integration by Parts: Problems show how the method of integration by parts is used to solve integrals. Demonstrates step-by-step solutions to complicated problems.
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Other Integration Techniques: Problems are presented using various other integration methods such as simplification, factorization, and trigonometric identities. Detailed solutions are provided.
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Problems with Variables: Examples integrate expressions including variables, offering a comprehensive review of different integrand functions. Solutions provide calculated results for these.
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Series and sequences: Problems in determining convergence and divergence of infinite series and sequences, with relevant mathematical tests and theorems. Includes several examples of finding convergence intervals.
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