So you just wrote the integral of e^x as e^(x+c) instead of e^x + C? Diabolical. Your teacher went from happy to homicidal in 0.5 seconds flat. The integral of e^x is famously just e^x + C (one of the few integrals that doesn't make you want to cry), but here you've committed mathematical heresy by slapping that +c in the exponent like some kind of chaos agent.
What makes this extra spicy is that e^(x+c) technically equals e^x · e^c, which is just e^x times a constant... so you're not *completely* wrong in the cosmic sense, but you're definitely wrong enough to make your calculus teacher question their entire career. It's like saying "close enough" when defusing a bomb.
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