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Calculus · Definite-Integrals

Integrate e^(x) from 0 to 1

\int_{0}^{1} e^{x}\, dx

Step by step

  1. \int_{0}^{1} e^{x}\, dx

    First find an antiderivative F, then evaluate F(b) − F(a).

  2. \int e^{x}\, dx = e^{x}

    ∫ aᵘ du = aᵘ / ln a (for eˣ that is just eˣ).

  3. F(1) - F(0) = \left(e\right) - \left(1\right)

    Fundamental theorem of calculus: plug in the limits.

  4. = -1 + e \approx 1.7183

    Simplify.

Reveal the answer
-1 + e