Indefinite Integrals – Basic Integration Rules, Power Rule, U-Substitution, Trig Integrals, Calculus

Описание: In this video, I introduce indefinite integrals and walk through the fundamental rules of integration step by step.
We begin with the basic idea of antiderivatives, then apply the power rule, exponential integrals, radicals, rational functions, and trigonometric integrals. After that, we explore essential integration techniques, including
u-substitution, trigonometric substitution, and integration by parts.

You will learn how to:
✅ Apply the power rule for integrals
✅ Integrate exponential and trigonometric functions
✅ Rewrite radicals and rational functions for easier integration
✅ Use u-substitution strategically to simplify expressions
✅ Apply trigonometric substitution to handle radical forms
✅ Solve integrals using integration by parts

By the end of this lesson, you’ll be confident in using the core integration rules and techniques that serve as the foundation for all of Calculus.

📌 Timestamps:
0:00 Introduction to Integration
2:11 Power Rule for Integration
9:08 Negative exponents
10:49 Integrating Radical Functions
13:45 Integrating Exponential Functions
15:20 Integrating Rational Functions
18:49 Integrating Trigonometric Functions
23:55 U-Substitution
31:41 Trigonometric Substitution
36:20 Integration by Parts