sin7xcos4xdx怎么算不定积分.开头符号打不来

救世主人2022-10-04 11:39:541条回答

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fairy_hag 共回答了14个问题 | 采纳率100%
sin7xcos4x = (1/2)[sin(7+4)x + sin(7-4)x]
= (1/2)[sin(11x) + sin(3x)]
原积分=(1/2)∫[sin(11x) + sin(3x)]dx
= (1/2)[(-1/11)cos11x + (-1/3)cos3x]+C
= -(1/22)cos11x - (1/6)cos3x +C
1年前

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