∫﹙x²*a^x﹚dx
来源：学生作业帮助网 编辑：六六作业网 时间：2024/11/27 00:17:40
∫﹙x²*a^x﹚dx∫﹙x²*a^x﹚dx∫﹙x²*a^x﹚dx∫﹙x²*a^x﹚dx=1/lnx*∫x²da^x=x^2*a^x/lna-2/ln
∫﹙x²*a^x﹚dx
∫﹙x²*a^x﹚dx
∫﹙x²*a^x﹚dx
∫﹙x²*a^x﹚dx
=1/lnx*∫x²da^x
=x^2*a^x/lna-2/lnx*∫xa^xdx
=x^2*a^x/lna-2/(lnx)^2*∫xda^x
=x^2*a^x/lna-2x*a^x/(lnx)^2+2/(lnx)^2∫a^xdx
=x^2*a^x/lna-2x*a^x/(lnx)^2+2a^x/(lnx)^3+C