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Calculus · Definite-Integrals

Integrate 9810.0z from 0 to 3

\int_{0}^{3} 9810.0 z\, dz

Step by step

  1. \int_{0}^{3} 9810.0 z\, dz

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

  2. \int 9810.0 z\, dz = 9810.0 \int z\, dz

    Pull the constant 9810.0 out of the integral.

  3. \int z\, dz = \frac{z^{2}}{2}

    Power rule: ∫xⁿ dx = xⁿ⁺¹/(n+1) (n ≠ −1).

  4. F(3) - F(0) = \left(44145.0\right) - \left(0\right)

    Fundamental theorem of calculus: plug in the limits.

  5. = 44145.0

    Simplify.

Reveal the answer
44145.0