{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Chap4_Sec9

# Chap4_Sec9 - x b f(x = 1 x c f x = x n n ≠-1 Example...

This preview shows pages 1–6. Sign up to view the full content.

A physicist who knows the velocity of a particle might wish to know its position at a given time. An engineer who can measure the variable rate at which water is leaking from a tank wants to know the amount leaked over a certain time period. A biologist who knows the rate at which a bacteria population is increasing might want to deduce what the size of the population will be at some future time. INTRODUCTION to ANTIDERIVATIVE

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
ANTIDERIVATIVES Find the most general antiderivative of each function. a. f ( x ) = sin

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: x b. f(x ) = 1/ x c. f ( x ) = x n , n ≠-1 Example 1 (4.9) ANTIDERIVATIVES Find all functions g such that Example 2 (4.9) 5 2 '( ) 4sin x x g x x x-= + Find f if f’ ( x ) = e x + 20(1 + x 2 )-1 and f (0) = – 2 Example 3 (4.9) DIFFERENTIAL EQUATIONS Find f if f’’ ( x ) = 12 x 2 + 6 x – 4, f (0) = 4, and f (1) = 1. Example 4 (4.9) DIFFERENTIAL EQUATIONS The graph of a function f is given. Make a rough sketch of an antiderivative F , given that F (0) = 2. Example 5 (4.9) GRAPH...
View Full Document

{[ snackBarMessage ]}

### Page1 / 6

Chap4_Sec9 - x b f(x = 1 x c f x = x n n ≠-1 Example...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online