Mathematics · Definite Integrals
The value of the integral ∫03 ex + e−x[x]! dx is equal to (where [x] denotes the greatest integer function):
- 1e3 − e2 − e−2 + e−3
- 2e3 + e2 − e−2 − e−3
- 3e3 − e2 − e−2 + e−32
- 4e3 + e2 − e−2 − e−32✓
Correct answer
e3 + e2 − e−2 − e−32
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