In this video I go over two more examples on integrating using computer algebra systems (CAS) and this time integrate the functions x(x²+5)⁸ and sin⁵ (x)cos² (x). For the second integral the computer gives a slightly different form from the same integral I solved by hand in my earlier video but I show that with basic algebra both answers can be rewritten to be identical.

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Integration using Computer Algebra Systems (CAS): Example 2 to 3

Example 2: Use a CAS to evaluate:

Solution:

Example 3: Use a CAS to find:

Solution:

In my earlier video I solved it by hand to be:

Using a CAS we get: