Order the steps to integrate ∫ x·eˣ dx by parts

Exercise and reference answers

Steps

1. Identify u = x and dv = eˣ dx (using ILATE)
2. Compute du = dx and v = eˣ
3. Apply ∫u dv = uv − ∫v du
4. Substitute: x·eˣ − ∫eˣ dx
5. Evaluate the remaining integral: x·eˣ − eˣ + C