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CAS Integration Simplification
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Using CAS, I did this integration.
 Integral[tan(x)^5*sec(x)^7]
And I got this answer:
 c_7  (1 / 693 * (((99) * cos(x)^(4)) + (154 * cos(x)^(2))  63) / cos(x)^(11))
Doing the problem by hand, a second form of the solution is:
1/7 sec^7(x) 2 sec^9(x) + 1/11 sec^11(x)
Does anyone have any suggestions showing how to simplify the CAS answer to the answer I got doing the calculation by hand?
Thanks.
D.
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