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## Calculus II

by: John MacGyver

21

0

1

# Calculus II MATH 142

John MacGyver
UT
GPA 3.52

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
1
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 1 page Class Notes was uploaded by John MacGyver on Monday October 26, 2015. The Class Notes belongs to MATH 142 at University of Tennessee - Knoxville taught by Staff in Fall. Since its upload, it has received 21 views. For similar materials see /class/229831/math-142-university-of-tennessee-knoxville in Mathematics (M) at University of Tennessee - Knoxville.

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Date Created: 10/26/15
MATH 1427 Fall 2006 Some interesting integrals of algebraic functions 1 Prove the reduction formula if In fdzzz 012 7 I i m 2n73 I 7 n7 a m 0 7 n7 a 7 39 n 2 2 2 2 2 1 2 2 2 n 1 Hint 1 i m 0 1 2a2n71 quot 2a2n 2a2n7 use integration by parts for the rst term splitting it as indicated 2 i 2 f m asint Ans 7 arcsin C 3f Lyman Hint completing squares7 we set u z 17 then u 1cost This leads to the integrals of and of both standard the cost W W7 second gives 72cotant27 While the rst equals cost dw 1 1w 1sint idt 7171 it 17sin2t 17w2 2n17w nlt cost 1 2 Ans 7Q lnm1v2xm20 4f complete squares 1 i z1 Ans 7 37m 172z7z22arcs1n 0 lt w 2 5fxm adz U2 m a Ans a m322a 7 3m C 2 15 WWWW1gt 6 Ans x13272amp717143x1767x71gx15673x123 1

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