Integral Calculus Quiz
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Questions and Answers

If a function $f$ is differentiable in an interval $I$, what arises as a natural question?

  • Given $f'$ at each point of $I$, can we determine the function? (correct)
  • How to find the maximum of $f$ in interval $I$?
  • Can $f$ have a vertical asymptote in interval $I$?
  • What is the area under the curve of $f$ in interval $I$?

    • What is the original motivation for the concept of the derivative in Differential Calculus?

  • Calculating the area of the region bounded by the graph of the functions
  • Defining tangent lines to the graphs of functions (correct)
  • Defining the slope of secant lines
  • Finding the anti-derivatives of a function

    • What are the functions that could possibly have given function $f'$ as a derivative called?

  • Indefinite integrals
  • Anti-derivatives (correct)
  • Definite integrals
  • Primitive functions

    • What is the original motivation for the concept of Integral Calculus?

    <p>Defining and calculating the area of the region bounded by the graph of functions</p> Signup and view all the answers

    What is the formula that gives all the anti-derivatives of a function called?

    <p>Indefinite integral</p> Signup and view all the answers

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