∫㏑(1+t²)dt
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∫㏑(1+t²)dt
![∫㏑(1+t²)dt](/uploads/image/z/19398757-13-7.jpg?t=%E2%88%AB%E3%8F%91%281%EF%BC%8Bt%26%23178%3B%29dt)
∫㏑(1+t^2)dt
=tln(1+t^2) - 2∫t^2/(1+t^2)dt
=tln(1+t^2) - 2∫(t^2+1)/(1+t^2)dt +2∫dt/(1+t^2)
=tln(1+t^2) - 2t +2arctan(t) + C
=tln(1+t^2) - 2∫t^2/(1+t^2)dt
=tln(1+t^2) - 2∫(t^2+1)/(1+t^2)dt +2∫dt/(1+t^2)
=tln(1+t^2) - 2t +2arctan(t) + C
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