Integration

  • Integral Equation
    problem
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    Integral Equation

    Age
    16 to 18
    Challenge level
    1 out of 3
    Solve this integral equation.
  • Harmonically
    problem
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    Harmonically

    Age
    16 to 18
    Challenge level
    3 out of 3
    Is it true that a large integer m can be taken such that: 1 + 1/2 + 1/3 + ... +1/m > 100 ?
  • Normal intersection
    problem
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    Normal Intersection

    Age
    16 to 18
    Challenge level
    3 out of 3
    Explore the intersection possibilities for normal pdfs.
  • Curved square
    problem
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    Curved Square

    Age
    16 to 18
    Challenge level
    1 out of 3

    Can you find the area of the central part of this shape? Can you do it in more than one way?

  • Area L
    problem
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    Area L

    Age
    16 to 18
    Challenge level
    2 out of 3

    By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?

  • Integration matcher
    problem

    Integration Matcher

    Age
    16 to 18
    Challenge level
    1 out of 3

    Can you match the charts of these functions to the charts of their integrals?

  • Calculus Countdown
    problem

    Calculus Countdown

    Age
    16 to 18
    Challenge level
    1 out of 3

    Can you hit the target functions using a set of input functions and a little calculus and algebra?

  • Integral Sandwich
    problem

    Integral Sandwich

    Age
    16 to 18
    Challenge level
    2 out of 3

    Generalise this inequality involving integrals.

  • Mind your \Ps and \Qs
    problem

    Mind Your Ps and Qs

    Age
    16 to 18
    Challenge level
    2 out of 3

    Sort these mathematical propositions into a series of 8 correct statements.

  • Placeholder: several colourful numbers
    problem

    Integral Arranging

    Age
    16 to 18
    Challenge level
    2 out of 3

    How would you sort out these integrals?