Integration with Variables

joe19

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Apr 24, 2020
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Should be another pretty quick question, but I was given the following problem:
math 2.png
I understand that the derivative of the upper limit has to be used here, but I'm not to sure how it's supposed to be included. I thought [MATH]6x^2[/MATH] was supposed to be substituted in for [MATH]t[/MATH], and that you should multiply the whole thing by the derivative of [MATH]6x^2[/MATH], but I'm not sure if any of that's right. Any help would be appreciated.
 
Should be another pretty quick question, but I was given the following problem:
View attachment 18249
I understand that the derivative of the upper limit has to be used here, but I'm not to sure how it's supposed to be included. I thought [MATH]6x^2[/MATH] was supposed to be substituted in for [MATH]t[/MATH], and that you should multiply the whole thing by the derivative of [MATH]6x^2[/MATH], but I'm not sure if any of that's right. Any help would be appreciated.
Please look at:


Please let us know if you do not understand something there.
 
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