2016韓國代購網 , 韓國代購化妝品 , 韓國代購批發 , 韓國代購教學---韓國代購/追加/寄貨

1.∫(上-正無限大 下-負無限大)1/(1+x^2) dx

w=atan(x)=atan(∞)-atan(-∞)

w1=270-90=180°......ans

w2=90-90=0°.........ans

w3=270-270=0°

2.∫(上0下負無限大)x e^x dx

=∫xd(e^x)

=x*e^x-∫e^x*dx........部份積分

=e^x(x-1)

=1*(0-1)-e(-∞)(-∞-1)

=-1+(∞+1)/e^∞

=-1........ans

3.判別Σ(上正無限大下n=1) ln(n)/n 是否收斂或發散?是敘原因??

Ans: 使用積分法檢驗:

∫(x=1~∞)ln(x)dx/x

=∫ln(x)d(ln(x))

=(ln(x))^2/2

=(ln(∞))^2/2-(ln(1))^2/2

=(ln(∞))^2/2

=發散........ans

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