Chapter 6, Problem 35RE

To determine

To explain:The process of computing integrals.

Answer to Problem 35RE

The value of $dx$ means take the area over a very small subinterval.

Explanation of Solution

Given information:

The friend knows the process of computing the integrals but never could understand based on the difference that is irrelevant.

Formula used:

  $\Delta x=\frac{b-a}{n}$

Calculation:

When a continuous function is on a given interval, partitioned into n subintervals, then length of subinterval is $\Delta x=\frac{b-a}{n}$ that leads to Riemann and when this length of subinterval tends to zero which is called $dx$ leads to integral. So $dx$ means take the area over a very small subinterval.

Conclusion:

The value of $dx$ means take the area over a very small subinterval.