Integrals · Basic Antiderivatives

Integral of eˣ

exdx=ex+C\int e^x \, dx = e^x + C

The integral of eˣ is itself, just like its derivative.

Worked examples

Find ∫ 5eˣ dx.
  1. 5eˣ + C

Answer: 5eˣ + C

Evaluate ∫₀¹ eˣ dx.
  1. [eˣ]₀¹ = e - 1

Answer: e - 1 ≈ 1.718

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