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From limits and derivatives to integrals and applications, calculus concepts are broken down to make homework and exams less stressful.

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0. Functions

1. Limits and Continuity

2. Intro to Derivatives

3. Techniques of Differentiation

4. Applications of Derivatives

5. Graphical Applications of Derivatives

6. Derivatives of Inverse, Exponential, & Logarithmic Functions

7. Antiderivatives & Indefinite Integrals

8. Definite Integrals

9. Graphical Applications of Integrals

10. Physics Applications of Integrals 

11. Integrals of Inverse, Exponential, & Logarithmic Functions

12. Techniques of Integration

13. Intro to Differential Equations

14. Sequences & Series

15. Power Series

16. Parametric Equations & Polar Coordinates

[BOOK CALCULUS] DEFAULT

Jonathan

Tangent Lines and Derivatives

Derivatives as Functions

Basic Graphing of the Derivative

Differentiability

Basic Rules of Differentiation

Higher Order Derivatives

Product and Quotient Rules

Derivatives of Trig Functions

The Chain Rule

Introduction to Volume & Disk Method

Kinematics

Work

Integrals of Exponential Functions

Integrals Involving Logarithmic Functions

Integrals Involving Inverse Trigonometric Functions

Integration by Parts

Partial Fractions

Improper Integrals

Calculus Midterm - Part 2 of 2

Evaluate the integral \( \int \left( \frac{4}{x} + \frac{1}{x^3} \right) \, dx \) by splitting it into simpler integrals.