Integration

There are 12 NRICH Mathematical resources connected to Integration
Area L
problem
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Area L

Age
16 to 18
Challenge level
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By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?

Integral Equation
problem
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Integral equation

Age
16 to 18
Challenge level
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Solve this integral equation.
Harmonically
problem
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Harmonically

Age
16 to 18
Challenge level
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Is it true that a large integer m can be taken such that: 1 + 1/2 + 1/3 + ... +1/m > 100 ?
Curved square
problem
Favourite

Curved square

Age
16 to 18
Challenge level
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Can you find the area of the central part of this shape? Can you do it in more than one way?
Normal intersection
problem
Favourite

Normal intersection

Age
16 to 18
Challenge level
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Explore the intersection possibilities for normal pdfs.
Placeholder: several colourful numbers
problem

Integral arranging

Age
16 to 18
Challenge level
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How would you sort out these integrals?
Integral Sandwich
problem

Integral sandwich

Age
16 to 18
Challenge level
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Generalise this inequality involving integrals.
Integral Inequality
problem

Integral inequality

Age
16 to 18
Challenge level
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An inequality involving integrals of squares of functions.
Mind your \Ps and \Qs
problem

Mind your Ps and Qs

Age
16 to 18
Challenge level
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Sort these mathematical propositions into a series of 8 correct statements.

Integration matcher
problem

Integration matcher

Age
16 to 18
Challenge level
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Can you match the charts of these functions to the charts of their integrals?