CAS Integration Simplification

David shared this question 7 years ago
Needs Answer

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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