   Chapter 15.2, Problem 50E

Chapter
Section
Textbook Problem

Sketch the region of integration and change the order of integration. ∫ 0 1 ∫ arctan x π / 4 f ( x ,   y )   d y   d x

To determine

To sketch: The outline of the region of integration and change the order.

Explanation

Given:

The regionD is enclosed by the plane y= π4 and the curve arctan x.

Calculation:

From the given conditions, y varies from arctan x to π4 and x varies from 0 to1. Use these values and sketch the graph as given below in the Figure 1.

From Figure 1, it is observed that x varies from 0 to tany and y varies from 0 to π4 .

01arctanxπ4f(x

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