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Calculus · Definite-Integrals

Integrate sin(x) from 0 to pi

\int_{0}^{\pi} \sin{\left(x \right)}\, dx

Step by step

  1. \int_{0}^{\pi} \sin{\left(x \right)}\, dx

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

  2. \int \sin{\left(x \right)}\, dx = - \cos{\left(x \right)}

    Standard trigonometric antiderivative.

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

    Fundamental theorem of calculus: plug in the limits.

  4. = 2

    Simplify.

Reveal the answer
2