Download presentation

Presentation is loading. Please wait.

Published byLeo Copeland Modified over 6 years ago

1
MAT 1221 survey of Calculus Section 6.1 Antiderivatives and Indefinite Integrals http://myhome.spu.edu/lauw

2
Expectation Simplify your answers. For problem 2: Formally answer the question in full sentence Pay attention to the units

3
Preview Introduce antiderivatives/ indefinite integral Introduce integration formulas Initial Value Problems Word Problems

4
Reverse Operation of Differentiation

5
Example 1 is the derivative of is an antiderivative of

6
Example 1 is the derivative of functions of the form

7
Example 1 The antiderivative of is of the form

8
Notation

9
Differential Integral Sign

10
Notation Constant of Integration/ Arbitrary Constant Integrand

11
Notation The notation always comes in pair.

12
Notation

13
Formal Definition

14
Formula Why?

15
Formula Verify

16
Example 2

17
Formula

18
Example 3 Tradition

19
Example 4

20
Remark on the integral notation Use parenthesis if there are two or more terms in a sum or difference.

21
Example 5

22
Example 6

23
Example 7

24
Caution

25
Differential Equations and Initial Conditions

26
Differential Equations and Initial Condition

27
Formula

28
The antiderivative of the derivative is the original function.

29
Example 8

30
Example 9

31
(b) Find the area of the wound after 7 days. The area of the wound after 7 days is cm 2

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google