>>144
あんま綺麗にでけんかった・・
途中式やけど参考までに

I=∫{(sinx)^4-(sinx)^6}dx
=∫(sinx)^4*{1-(sinx)^2}dx
=∫(sinx)^4*(cosx)^2dx
=∫(sinx)^4*(cosx)*(cosx)dx
= (1/5)*(sinx)^5 - (1/5)*∫(sinx)^5*(-sinx)dx
= (1/5)*(sinx)^5 + (1/5)*∫(sinx)^6dx

∫(sinx)^6dx = (5/6)*∫(sinx)^4dx - (1/6)*(sinx)^5

J=∫{(sinx)^2-(sinx)^4}dx
=∫(sinx)^2*(cosx)^2dx
=∫(sinx)^2*(cosx)*(cosx)dx
=(1/3)*(sinx)^3 - (1/3)*∫(sinx)^3*(-sinx)dx
=(1/3)*(sinx)^3 + (1/3)*∫(sinx)^4dx

∫(sinx)^4dx = (3/4)*∫(sinx)^2dx - (1/4)*(sinx)^3