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by: Benjamin Mao

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Math141 Exam 2 Study Guide MATH141

Marketplace > University of Maryland > Math > MATH141 > Math141 Exam 2 Study Guide
Benjamin Mao
UMD
GPA 3.0

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Plan to pass this exam without studying? Your plan has just been FOILED!! But seriously, you should study... This study guide covers inverse functions, inverse trig functions, L'Hopital's Rule an...
COURSE
MATH141
PROF.
Dr. Gulick
TYPE
Study Guide
PAGES
2
WORDS
CONCEPTS
Math, Calculus, Integration, parts, trig, L'Hopital, rule
KARMA
50 ?

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This 2 page Study Guide was uploaded by Benjamin Mao on Sunday February 28, 2016. The Study Guide belongs to MATH141 at University of Maryland taught by Dr. Gulick in Spring 2016. Since its upload, it has received 152 views. For similar materials see MATH141 in Math at University of Maryland.

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Date Created: 02/28/16
Math141 Exam 2 Study Guide Formulas Inverse derivative: ????−1)′ ????= 1 ???? (????1(???? ) Inverse Trig Functions: 1 −1 ???? ∫ √???? −????2 ???????? = sin (????) + ???? 1 1 −1 ???? ∫ 2 2???????? = tan ( ) + ???? ???? +???? ???? ???? 1 1 ???? | ∫ 2 2 = sec −1 ( ) + ???? ???? ???? −???? a ???? ????(????) ???? (????) ????(????) L’Hôpital’s Rule: lim = lim provided = ????→???? ????(????) ????→???? ???? (????) ????(????) ∞ 0 ± ∞ ???????? 0 ???????? ???? → ???? Integration by Part∫: ???? ???????? = ???????? − ∫ ???????? The goal is to transform the antiderivative of a product of functions into an antiderivative for which a solution can be more easily found. Use the Acronym ILATE to determine which function to be u. Sample Problems: 3 1.???? ???? = √−6???? − 2 (????−1 ) =? 4 2.∫ 2???????? 1+9???????? 3.∫ 2 ???? +4????+13 4.∫ 4????+3 ???????? √1−????2 5.∫???????????? ???? ???????? using the fact that ∫ sec???? = ???????? sec???? + tan???? + ???? 6.∫5 ????√???? + 1???????? 0 −1 ???? +5 −1 −1 4 7.???? ???? = sin (5????−2) − tan 2???? + cos √1 + ???? + sec2???? ???? ???? =?

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