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Calculus · Definite-Integrals

Integrate sin(x)/x from 0 to 1

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

Hatua kwa hatua

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

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

  2. \int \frac{\sin{\left(x \right)}}{x}\, dx = \operatorname{Si}{\left(x \right)}

    Si rule.

  3. F(1) - F(0) = \left(\operatorname{Si}{\left(1 \right)}\right) - \left(0\right)

    Fundamental theorem of calculus: plug in the limits.

  4. = \operatorname{Si}{\left(1 \right)}

    Simplify.

Lafunua jibu
\operatorname{Si}{\left(1 \right)}