Calculate the Iterated Integral $\int _ { - 1 } ^ { 2 } \left( \int _ { 0 } ^ { 1 / x ^ { 2 } } x ^ { 3 } e ^ { x ^ { 3 } y } d y \right)$

question 35

Short Answer

Calculate the iterated integral $\int _ { - 1 } ^ { 2 } \left( \int _ { 0 } ^ { 1 / x ^ { 2 } } x ^ { 3 } e ^ { x ^ { 3 } y } d y \right)$ dx.
Enter your answer exactly in the form $e ^ { a }$ ± b - $\mathrm { e } ^ { \mathrm { C } }$ .

---

Definitions:

Grouped Frequency Distribution

A grouped frequency distribution organizes data into intervals or groups, showing the number of occurrences for each interval.

Number of Downloads

The total count of times a digital file, application, or piece of software has been downloaded by users.

Type of Music

A category or genre that classifies music according to shared traditions, characteristics, or conventions.

Grouped Frequency Distribution

The organization of raw data in table form, using classes and frequencies.