∫﹙x²*a^x﹚dx
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![∫﹙x²*a^x﹚dx](/uploads/image/z/5387962-58-2.jpg?t=%E2%88%AB%EF%B9%99x%26%23178%3B%2Aa%5Ex%EF%B9%9Adx)
∫﹙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