A better way to estimate the area under a curve i, instead of using rectangles, use trapeziums – “Trapezoidal Rule”. Even better again, use a curve to estimate a curve “Simpson’s Rule” uses parabolas.
lesson notes:07 approximations
A better way to estimate the area under a curve i, instead of using rectangles, use trapeziums – “Trapezoidal Rule”. Even better again, use a curve to estimate a curve “Simpson’s Rule” uses parabolas.
lesson notes:07 approximations
Recognising this format can save time when integrating
lesson notes:06 derivative times function
Extending the idea of areas to volumes by rotating each of the rectangles to create cylinders. A bit of a stuff up in the last example, but you get the idea……I hope !!!!
lesson notes:05 volumes
Using integration to find the areas of irregular shapes in different orientations.
Note: had to use last year’s audio, microphone played up!!!!
lesson notes:04 areas
When we don’t substitute numbers into our integral its value becomes unkown, this is known as the indefinite integral.
lesson notes:03 indefinite integral