Question

integration i need help

integrate:(1-e^x)^5/e^4x..plz show full working

Answer 1

just expand and divide each term by e^4x. That gives

1/e^4x - 5/e^3x + 10/e^2x - 10/e^x + 5 - e^x

That's easy to integrate, recalling that ∫ e^ax dx = 1/a e^ax