第三十二题
![Mathematica入门习题[32]–积分](https://img.mathpretty.com/snipaste_20170912_165442.png?imageView2/0/q/75|watermark/2/text/5YWz5rOo5YWs5LyX5Y-377ya5paH6Im65pWw5a2m5ZCb/font/5b6u6L2v6ZuF6buR/fontsize/540/fill/IzAwMDAwMA==/dissolve/100/gravity/SouthEast/dx/10/dy/10|imageslim)
这里就将四个积分的式子写在一起:
Integrate[1/(1 + x^4 + x^8), x]
Integrate[1/(ArcSin[x]^2*Sqrt[1 - x^2]), x]
Integrate[(x^2 + 1)/(x^4 + 1), {x, 0, Infinity}]
Integrate[E^x*(1 + E^x)^2, {x, 1, Log[2]}]
![Mathematica入门习题[32]–积分](https://img.mathpretty.com/snipaste_20170912_213716.png?imageView2/0/q/75|watermark/2/text/5YWz5rOo5YWs5LyX5Y-377ya5paH6Im65pWw5a2m5ZCb/font/5b6u6L2v6ZuF6buR/fontsize/540/fill/IzAwMDAwMA==/dissolve/100/gravity/SouthEast/dx/10/dy/10|imageslim)
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![Mathematica入门习题[32]–积分](https://img.mathpretty.com/snipaste_20170912_165442.png?imageView2/0/q/75|watermark/2/text/5YWz5rOo5YWs5LyX5Y-377ya5paH6Im65pWw5a2m5ZCb/font/5b6u6L2v6ZuF6buR/fontsize/540/fill/IzAwMDAwMA==/dissolve/100/gravity/SouthEast/dx/10/dy/10|imageslim)
这里就将四个积分的式子写在一起:
Integrate[1/(1 + x^4 + x^8), x]
Integrate[1/(ArcSin[x]^2*Sqrt[1 - x^2]), x]
Integrate[(x^2 + 1)/(x^4 + 1), {x, 0, Infinity}]
Integrate[E^x*(1 + E^x)^2, {x, 1, Log[2]}]
![Mathematica入门习题[32]–积分](https://img.mathpretty.com/snipaste_20170912_213716.png?imageView2/0/q/75|watermark/2/text/5YWz5rOo5YWs5LyX5Y-377ya5paH6Im65pWw5a2m5ZCb/font/5b6u6L2v6ZuF6buR/fontsize/540/fill/IzAwMDAwMA==/dissolve/100/gravity/SouthEast/dx/10/dy/10|imageslim)
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