FTC and Definite Integrals

AP Calculus AB· difficulty 1/5

01(3f(x)+2g(x))dx\displaystyle\int_0^1 (3 f(x) + 2 g(x))\,dx if 01f=4\int_0^1 f = 4 and 01g=1\int_0^1 g = -1 equals

  • A

    1010

    check_circle
  • B

    1414

  • C

    33

  • D

    1111

Explanation

3(4)+2(1)=122=103(4) + 2(-1) = 12 - 2 = 10.

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