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Jason Madsen |
j-madsen |
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Assignment #3 |
Problem 2.4.17 |
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URL: http://people.tamu.edu/~jrm7519/2.4.17.htm |
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2.4.17 Evaluate
. (Differentiate
first, then do the surviving integral.)
The multivariable chain rule results in two terms, one term from the x dependence in the integrand and the other from the x dependence of the upper limit.
The fundamental theorem of Calculus
gives the term from the x dependence in the upper limit: (set
)
The second term comes from the x dependence in the integrand:
Therefore:
