求解不定积分∫cos(3x+1)dx

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求解不定积分∫cos(3x+1)dx
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求解不定积分∫cos(3x+1)dx
求解不定积分∫cos(3x+1)dx

求解不定积分∫cos(3x+1)dx
∫cos(3x+1)dx
=(1/3)∫cos(3x+1)d3x
=(1/3)∫cos(3x+1)d(3x+1)
=(1/3)∫d(sin(3x+1))
=(1/3)sin(3x+1)+C


∫cos(3x+1)dx
=1/3∫cos(3x+1)d(3x+1)
=1/3∫cosudu
=1/3(sinu)+C
=1/3sin(3x+1)+C