Approximate $\int _ { 0 } ^ { 3 } x ^ { 2 } d x$

question 48

Short Answer

Approximate $\int _ { 0 } ^ { 3 } x ^ { 2 } d x$ ; n = 4, by (a) the trapezoidal rule, (b) the midpoint rule, and (c) then find the exact value of the integral.
Enter just a, b, c where a and b are real numbers to two decimal places (rounded off), and c is an integer, all separated by commas and answering (a), (b), (c) in order but unlabeled.

---

Definitions:

Legislature

A governmental body with the authority to make, amend, and repeal laws in a country or state.

State Legislature

The legislative branch of state government in the United States, responsible for making and passing laws at the state level.

Assembly

A group of people gathered together for a specific purpose, often for discussion, making decisions or legislation.

Senate

A legislative body in various countries, often forming the upper house in a bicameral system, responsible for making and passing laws.