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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

Initial Value Problems

Estimating Area with Finite Sums

Riemann Sums

Introduction to Definite Integrals

Fundamental Theorem of Calculus

Average Value of a Function

Substitution

Area Between Curves

Basics of Differential Equations

Slope Fields

Euler's Method

Separable Differential Equations

Review of Factorials

Convergence Tests

Calculus Final - Part 2 of 2

Assume gg,g′,g^{\prime} are continuous on R \mathbb{R} . Determine ∫4(g(x))mg′(x)dx\int4(g(x))^{m}g^{\prime}(x)\,dx where m≠−1 m \neq -1 .

Assume $g$ $, g^{'}$ are continuous on $R$ . Determine $\int 4 (g (x))^{m} g^{'} (x) d x$ where $m is not equal to negative 1$ .