5

2. Determine an expression for U So the substitution rule can be used t0 evaluate each integral. a) fcos(x)3edx b) f2xe' dx c) Jsin?x cosxdx d) J2r-2x(x I)dx e...

Question

2. Determine an expression for U So the substitution rule can be used t0 evaluate each integral. a) fcos(x)3edx b) f2xe' dx c) Jsin?x cosxdx d) J2r-2x(x I)dx e) ] A+Ldx +3x

2. Determine an expression for U So the substitution rule can be used t0 evaluate each integral. a) fcos(x)3edx b) f2xe' dx c) Jsin?x cosxdx d) J2r-2x(x I)dx e) ] A+Ldx +3x



Answers

(a) Make the indicated $u$ -substitution, and then use the Endpaper Integral Table to evaluate the integral. (b) If you have a CAS, use it to evaluate the integral, and then confirm that the result is equivalent to the one that you found in part (a). $$\int x e^{-2 x} d x, u=-2 x$$

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Call the former us 69. Where were the integral Did you all the way square my most new square. Don't get me good. You wanna what? You i and off, don't you? Just me over humans. A basic constancy in a question. Well, given the integral off that evil angsty thank divided by three months for a Judah two x here Noticed that we wouldn't have you included. Two need to the banks in the U equals to the x t x so immense down the top and we're in culturally, you are a Jew. And this one to do you put your new square therefore can register Judah one half outside, then do you? Over three months, you square we compared to the formula and then we get this three go to the square, therefore the in Waco Judas current in the three. And if we get my formula, you could you want over do 10 times going on with you A movie juice can return with three. You know, Ellen off the absolute you. Plus, I would be screaming with a tree on with a human escorting the three present constancy and then we soon if I get the one over for school in the three on and you could you do to age. XO had you each of the express car into a tree. Joe Agent that next man, it's covered in it. Three. That's a constancy.

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For 11 where we have integrated and land on the duty Knew we get ICO Jude and new on land on the U minus You plus a constant c in a question with him the intercom that thanks and land off the Jew class. Next square acts so it will bring You got your job Us X square Continue, he concluded, you angsty x so it means done Missed you here together you get equal. Junior, do you knew on what you and this one equal to the new Therefore, can Kennison culture integral on the island And then you continue on with June so can be a half outside then by formula identical to a half new on an avenue minus half new, less a constancy Now because your ego to this quantity and from you know what? Your half and then Juba's X Square on and on the job. That's next. Where minus have Joe best thanks Square. That's a constancy


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