Practice question · Fill in the blanks
Complete the formula for the strip width in a Riemann sum.
Slicing the interval from a to b into n strips of equal width gives each strip a width of ______.
Word bank: b - a · (b - a) divided by n · n divided by (b - a) · b divided by a
Hints
- The whole interval is shared out equally among the strips.
- As n grows the width must shrink towards zero.
Show the answer
Slicing the interval from a to b into n strips of equal width gives each strip a width of (b - a) divided by n.
Why
The interval length b - a is divided among n strips. Only this form shrinks as n grows, which is exactly what makes the limit of the sums converge on the exact area.
Practise The Definite Integral and Area
The app has 5 more questions on this lesson, and keeps your place in the course. Computer Science I is free to start.
More questions on The Definite Integral and Area
- Numerical integration approximates an integral by summing values at sample points. Why does a computer use…
- Select every statement that is TRUE of the DEFINITE integral of f from a to b.
- A model fits its training data almost perfectly and performs poorly on new data. Which fitting concept…
- A curve is integrated from left to right. Sort each portion by how it contributes to the definite integral.