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by: Jazmyn Braun


Jazmyn Braun
GPA 3.76


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Class Notes
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This 2 page Class Notes was uploaded by Jazmyn Braun on Saturday September 26, 2015. The Class Notes belongs to MTHSC 108 at Clemson University taught by Staff in Fall. Since its upload, it has received 49 views. For similar materials see /class/214286/mthsc-108-clemson-university in Mathematics (M) at Clemson University.

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Popular in Mathematics (M)


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Date Created: 09/26/15
1 Evaluate fol V543 dx lt7s okay to leave your answer in terms of square roots Let u 4 9 Then our integral becomes 10 1 u l2 du lu lZlm 4 9 2 9 1 5 V1 2 Evaluate ff mnTm dz Let u ln7 and our integral turns into 1112 2 udu uzltna 0 ln22 3 a If f is an even function ie7 f7x fz7 what can you say about f dm for my number n Hint Consider f0 fx dx7 and recall even functions are sym metric about the y aXis Since an even function is symmetric about the y axis7 if we nd the integral fon x dm and double it7 we have dz dx2Onf dm b If f is an odd function ie7 f7x 7fx what can you say about dm for my number 71 Since the function is odd7 the negative half77 between in and 0 is the mirror image of the positive half7 but upside down When we add these together7 they cancel out fd0 4 Find the area of the region bounded above by f 2 2 and bounded below by 92 3 between z 71 and z 1 1 1 1 f79zdz 223dz 1 71 3 9 3 4 Find the area between and cosx over the interval 075 This area is repre sented in the picture below Note that sinx is the top function part of the time7 and cosx is the top function part of the time n 725 1571 2 356 3142 3 927 7 Z cosac7 and the area in the gure is On 07f7 cosx Z sinac7 but on 3 if given by 7r4 cosx 7 dx 0 57M 4 57r 4 7r4 7 cosx dx cosxg 7 cosx 7 s1nx 7r xi2 27071x52 2 2 2 3amp71


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