antiderivatives-trig-exponential-functions-fractions-square-roots-substitution-calculus

This calculus video tutorial shows you how to find the antiderivative or integral of a function. It explains how to find the antiderivative of trig functions, exponential functions, fractions, square roots, radical functions, and polynomial functions. It contains plenty of examples and practice problems for you to work on.

Here is a list of topics:

1. Antiderivatives - Definite Integral vs Indefinite Integral

2. Antiderivative F(x) vs f(x) - Derivative of F(x)

3. Differentiation vs Antidifferentiation / Integration

4. Polynomial Functions - X^2, x^3

5. Square Root Functions - sqrt(x)

6. Antiderivative of e^x, e^2x, and a^x - Exponential Functions

7. Antiderivative of Fractions - 1/x, 1/x^2, 1/(x+3)

8. Antiderivative of Trig Functions - sin(2x) and cos(2x)

9. Integration Techniques - Factoring, Foiling, Distributive Property, and Constant Multiple Rule

10. U-Substitution Example

11. Tan, Sec, Csc, and Cot Trigonometric Functions

12. Initial Condition and Particular Solution Problems

13. Finding the solution to the differential equation

14. Solving for the constant C - constant of integration

15. dx, dy, and dt

16. Finding the general solution f(x) given second derivative f''(x) and two points to find the constant C

17. Definite Integral Example - given upper and lower bound of integral

Tagged under: antiderivatives,antiderivative calculus,calculus,antiderivatives trig functions,antiderivatives fractions,antiderivatives exponential functions,antiderivatives square roots,substitution,examples,trig functions,fractions,exponential functions,square roots,radicals,definite integral,indefinite integral,integration,practice,problems, solution,derivative,polynomial functions,initial condition,constant C,general solution,antiderivative

Clip makes it super easy to turn any public video into a formative assessment activity in your classroom.

Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip

Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans

1. Students enter a simple code

2. You play the video

3. The students comment

4. You review and reflect

* Whiteboard required for teacher-paced activities

With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach.

Quickfire

Carry out a quickfire formative assessment to see what the whole class is thinking

Discuss

Create interactive presentations to spark creativity in class

Team Up

Student teams can create and share collaborative presentations from linked devices

Clip

Turn any public video into a live chat with questions and quizzes

Tried out the canvas response option on @SpiralEducation & it's so awesome! Add text or drawings AND annotate an image! #R10tech

Using @SpiralEducation in class for math review. Student approved! Thumbs up! Thanks.

Absolutely amazing collaboration from year 10 today. 100% engagement and constant smiles from all #lovetsla #spiral

Students show better Interpersonal Writing skills than Speaking via @SpiralEducation Great #data #langchat folks!

Dr Ayla Göl
@iladylayla

A good tool for supporting active #learning.

The Team Up app is unlike anything I have ever seen. You left NOTHING out! So impressed!