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## CALCULUS I

by: Cassidy Grimes

5

0

3

# CALCULUS I MATH 141

Cassidy Grimes

GPA 3.51

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COURSE
PROF.
TYPE
Class Notes
PAGES
3
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 3 page Class Notes was uploaded by Cassidy Grimes on Monday October 26, 2015. The Class Notes belongs to MATH 141 at University of South Carolina - Columbia taught by D. Meade in Fall. Since its upload, it has received 5 views. For similar materials see /class/229531/math-141-university-of-south-carolina-columbia in Mathematics (M) at University of South Carolina - Columbia.

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Date Created: 10/26/15
MATH 141 lFundaInentaI Theorem of Calculus FTC Let f a b a R be a continuous function Let F a b a R be an antiderivative of f recall this means Fac Let x 6 ab Then 117mm 2 abFxdx Fb7Fa D 0 Melt we If the functions y at and y 9a are differentiabIe at x and a and b are constants then 1 Dar Ia WWI If76 5996 2 Dar MW 9I f 976 JV 996 3 Dan WE provided 9a 31 0 4 DmIfIT 7 IfIT71 H96 If f is differentiabIe at x and g is differentiabIe at at then 5 DmigfI 9f96 f FTC DERIVATIVES gt INTEGRALS am Dmama c Ina amdx O Ina I I DmIogaIacI dInIxI O x Ina x Inac loga b1ogbc logac log m sin x cos x 1 1 tanac cotx secx cscac cos at sm at cos at sm at 2 1 7 cos2x sin x sin2 2sincosx 1 cos 210 cos2 x cos2x cos2 x 7 sm2 x FTC DERIVATIVES gt INTEGRALS du Dms1nucosud cosudus1nu O at du Dmtanusec2u sec2udutanu 0 die du Dmsecusecutanud secutanudusecu O at d Dmcosu7sinu d u sinudu7cosu O at 2 d 2 Dmcotu7csc ud csc udu7cotu O at du Dmcscu7cscucotu d cscucotudu7cscu O at MORE INTEGRALS tanudu 71n1cosu1 O 1n1secu1 O cotudu 1n1sinu1 O 71n1cscu1 O secudu 1n1secu tanu O 71n secu 7 tanuI 6 cscudu 71n1cscu cotu1 O 1n1cscu 7 cotu1 6 INVERSE TRIG FUNCTIONS 1 ysin I gt 6sin y ycos6I gt 6cos 1y ytan6 gt 6tan 1y ycot6I gt 6cot 1y ysec6I gt 6sec 1y ycsc6I gt 6csc 1y DERIVATIVES 1 du 71 7 Dmsm ninth 1 du Dmt 1 an u 1u2 die 1 du Dm secilu VIM71271 dic 71 du 71 i Dmcos ninth 71 du D0c f1 CO u 1u2 die 71 d Dmcsc lu u haw LIE Where Where Where Where Where Where yER yER M21 M21 quot111 e Q Mgl MEI W l W21 7r 7r d lt6lt an 2 7 2 and 0 6 7r 7r 7r d lt6lt an 2 2 and 0lt6lt7r and 0 6lt7r67 g i7r 7r d lt6lt 6 0 an 2 7 2 7 INTEGRALS 1 duisinilu0 xIiu2 1 Wdutanilu0 1 d 1H0 usec u lax71271

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