UFCalcSet30 - Exercises UF Calculus Set 30 1. Find the...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Exercises UF Calculus Set 30 1. Find the general antiderivative for each function below; assume we have chosen an interval I on which the function is continuous. Several will require an algebraic manipulation first. (a) f ( x ) = 4 x 5 (b) f ( x ) = π 10 + ex (c) f ( x ) = 8 9 x 2 / 3 (d) f ( x ) = 2 x + 2 x - 2 (e) f ( x ) = 4 sin( x ) + 2 cos(2 x ) (f) f ( x ) = sec 2 ( πx ) (g) f ( x ) = e - 2 x + e 2 x (h) f ( x ) = (1 + x ) 2 x (i) f ( x ) = x - 1 / 3 (6 - x ) (j) f ( x ) = (1 - 2 x 2 ) 2 (k) f ( x ) = 4 - x 2 - x (l) f ( x ) = x 2 - 1 1 + x 2 2. Find the particular antiderivative F for f ( x ) satisfying the conditions, and write the largest open interval on which F is the antiderivative for f (a) f ( x ) = 2 x + 2 x - 2 ; F passes through ( 1 2 , 4 ) (b) f ( x ) = x - 1 / 3 (6 - x ) ; F ( - 1) = 5 (c) f ( x ) = e - 2 x + e 2 x - sec( x ) tan( x ) ; F (0) = 0 3. Use trigonometric identities to manipulate the functions below in order to find the general antiderivative. (a)
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 05/17/2011 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.

Page1 / 3

UFCalcSet30 - Exercises UF Calculus Set 30 1. Find the...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online