Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Integrating with a CAS Use a computer algebra system to evaluate the following integrals. Find both an exact result and an approximate result for each definite integral. Assume a is a positive real number.

31
Transcribed Image Text:31
Expert Solution
Step 1: Evlaute the definite integral using CAS.

The given definite integral is:

integral subscript 0 superscript 1 x to the power of 31 e to the power of x squared end exponent d x.

We use graphical calculator to find the value as shown below.

Advanced Math homework question answer, step 1, image 1


Step 2: Describe the exact value and approximate value.

The exact value of the integral is:

equals box enclose 653837184000 minus 240533257867 e end enclose.

The approximate value of the integral is:

equals box enclose 0.08020 end enclose.


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