
如图如何积分?
2个回答
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∫ln(1+t²)dt
=t·ln(1+t²)-∫t·2t/(1+t²)dt
=t·ln(1+t²)-∫2t²/(1+t²)dt
=t·ln(1+t²)-∫[2-2/(1+t²)]dt
=t·ln(1+t²)-2t+2arctant+C
=t·ln(1+t²)-∫t·2t/(1+t²)dt
=t·ln(1+t²)-∫2t²/(1+t²)dt
=t·ln(1+t²)-∫[2-2/(1+t²)]dt
=t·ln(1+t²)-2t+2arctant+C
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