How to solve this?\[\int xe^{6x}dx \]
Let u = x dv = e^(6x) dx v = e^(6x)/6 du = dx uv - ∫v du xe^(6x)/6 - ∫e^(6x)/6 dx eval. from 0 to 1 xe^(6x)/6 - e^(6x)/36 eval. from 0 to 1 = e^(6)/6 - e^(6)/36 + 1/36 = (5*e^6 + 1)/36
