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Chapter 7: Integral Search for Primitive
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Derivative of an Integral
Covers the derivative of an integral dependent on a parameter and its fundamental properties.
Riemann Sums and Definite Integrals
Covers Riemann sums, definite integrals, Taylor series, and exponential of complex numbers.
Taylor Polynomials: Approximation and Integration
Covers Taylor polynomials for approximation and indefinite integrals of elementary functions.
Integration Techniques: Change of Variable
Covers the formula for changing variables in integration and explores indefinite integrals with trigonometric substitutions.
Integration Basics
Covers the fundamentals of integration and various methods for solving integration problems.
Derivative of an Integral with Parameter
Covers deriving integrals with parameters and their derivatives, including special cases and proofs.
Derivatives and Approximations: Logarithmic Functions
Explores derivatives and approximations, focusing on logarithmic functions and their properties.
Integration by Substitution
Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.