1. 原式=∫(1/x-x/(1+x²))dx
=ln|x|-1/2ln(1+x²)+c
2. dz/dx=az/au du/dx+az/av dv/dx
=(2uv+3v^4)e^x+(u²+12uv³)cosx
=(2e^xsinx+3sin^4 x)e^x+(e^2x+12e^xsin³x)cosx
1. 原式=∫(1/x-x/(1+x²))dx
=ln|x|-1/2ln(1+x²)+c
2. dz/dx=az/au du/dx+az/av dv/dx
=(2uv+3v^4)e^x+(u²+12uv³)cosx
=(2e^xsinx+3sin^4 x)e^x+(e^2x+12e^xsin³x)cosx