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  • 5.3: The Fundamental Theorem and Antidifferentiation
    https://math.libretexts.org/Courses/Chabot_College/MTH_15%3A_Applied_Calculus_I/05%3A_The_Integral/5.03%3A_The_Fundamental_Theorem_and_Antidifferentiation
    We can tell, though, from the graph that the area from x=0 to x=1 is about the same as the area from x=1 to x=3, so we would expect the net area from x=0to x=3 to ...We can tell, though, from the graph that the area from x=0 to x=1 is about the same as the area from x=1 to x=3, so we would expect the net area from x=0to x=3 to be close to 0.
  • 4.4: The Fundamental Theorem and Antidifferentiation
    https://math.libretexts.org/Courses/Prince_Georges_Community_College/MAT_2160%3A_Applied_Calculus_I/04%3A_The_Integral/4.04%3A_The_Fundamental_Theorem_and_Antidifferentiation
    This section contains the most important and most used theorem of calculus, the Fundamental Theorem of Calculus. Discovered independently by Newton and Leibniz in the late 1600s, it establishes the co...This section contains the most important and most used theorem of calculus, the Fundamental Theorem of Calculus. Discovered independently by Newton and Leibniz in the late 1600s, it establishes the connection between derivatives and integrals, provides a way of easily calculating many integrals, and was a key step in the development of modern mathematics to support the rise of science and technology.
  • 3.2: The Fundamental Theorem and Antidifferentiation
    https://math.libretexts.org/Courses/Penn_State_University_Greater_Allegheny/MATH_110%3A_Techniques_of_Calculus_I_(Gaydos)/03%3A_The_Integral/3.02%3A_The_Fundamental_Theorem_and_Antidifferentiation
    This section contains the most important and most used theorem of calculus, the Fundamental Theorem of Calculus. Discovered independently by Newton and Leibniz in the late 1600s, it establishes the co...This section contains the most important and most used theorem of calculus, the Fundamental Theorem of Calculus. Discovered independently by Newton and Leibniz in the late 1600s, it establishes the connection between derivatives and integrals, provides a way of easily calculating many integrals, and was a key step in the development of modern mathematics to support the rise of science and technology.
  • 3.3: The Fundamental Theorem and Antidifferentiation
    https://math.libretexts.org/Courses/Butler_Community_College/MA148%3A_Calculus_with_Applications_-_Butler_CC/03%3A_The_Integral/3.03%3A_The_Fundamental_Theorem_and_Antidifferentiation
    We can tell, though, from the graph that the area from x=0 to x=1 is about the same as the area from x=1 to x=3, so we would expect the net area from x=0to x=3 to ...We can tell, though, from the graph that the area from x=0 to x=1 is about the same as the area from x=1 to x=3, so we would expect the net area from x=0to x=3 to be close to 0.

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