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Calculus · Definite-Integrals

Integrate 4·pi from 0 to 1

\int_{0}^{1} 4 \pi\, dr

Step by step

  1. \int_{0}^{1} 4 \pi\, dr

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

  2. \int 4 \pi\, dr = 4 \pi r

    The integral of a constant c is c·x.

  3. F(1) - F(0) = \left(4 \pi\right) - \left(0\right)

    Fundamental theorem of calculus: plug in the limits.

  4. = 4 \pi \approx 12.566

    Simplify.

Reveal the answer
4 \pi