求不定积分 ∫ (sin2x -e^x/3 ) dx

问题描述:

求不定积分 ∫ (sin2x -e^x/3 ) dx

∫ [sin2x -e^(x/3 )] dx
=∫ sin2xdx-∫e^(x/3) dx
=1/2∫ sin2xd2x-3∫e^(x/3 )d(x/3)
=-1/2cos2x-3e^(x/3)+c