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FTC and Definite Integrals

AP Calculus AB· difficulty 2/5

x a c b

∫abf(x) dx\int_a^b f(x)\,dx equals:

  • A

    f(c)f(c)

  • B

    ∫acf−∫cbf\int_a^c f - \int_c^b f

  • C

    ∫acf+∫cbf\int_a^c f + \int_c^b f

    check_circle
  • D

    ∫acf⋅∫cbf\int_a^c f \cdot \int_c^b f

Explanation

Integral over [a,b][a,b] splits at cc: ∫acf+∫cbf\int_a^c f + \int_c^b f.

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