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不定积分中凑微分法求∫e^x乘以sin(e^x+1)dx
人气:499 ℃ 时间:2020-03-31 19:22:08
解答
∫e^x sin(e^x+1)dx
=∫sin(e^x+1)d(e^x+1)
=-cos(e^x+1) + C
验算:
-cos(e^x+1)'
=-[-sin(e^x+1) × e^x]
=e^x sin(e^x+1)
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