Question

这个高数定积分怎么做？

第12题

Answer 1

=∫e^udsinu
=sinue^u-∫sinude^u
=sinue^u+∫e^udcosu
=sinue^u+cosue^u-∫cosude^u
=(sinu+cosu)e^u/2+C
=(x+√(1-x²))e^arcsinx/2+C