Btw, the above integrals is from Rubi's test suite. Here is last years output:
<https://www.12000.org/my_notes/CAS_integration_tests/reports/summer_2021/test_cases/4_Trig_functions/4.1_Sine/4.1.2.2-g_cos-%5Ep-a+b_sin-%5Em-c+d_sin-%5En/rese158.htm#x162-1860003.158>
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