   Chapter 15.1, Problem 30E

Chapter
Section
Textbook Problem

Calculate the double integral.30. ∬ R tan θ 1 − t 2   d A ,   R = { ( θ , t ) | 0 ≤ θ ≤ π / 3 ,   0 ≤ t ≤ 1 2 }

To determine

To calculate: The value of given double integral over the region R.

Explanation

Formula used:

If g(x) is the function of x and h(y) is the function of y then,

abcdg(x)h(y)dydx=abg(x)dxcdh(y)dy

Given

The rectangular region is, R={(x,y)|0θπ3,0t12} .

Calculation:

Compute the given double integral by using the formula stated above.

Rtanθ1t2dA=0π3[012tanθ1t2dt]dθ=01211t2dt

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Evaluate the indefinite integral. sinh2xcoshxdx

Single Variable Calculus: Early Transcendentals, Volume I

Factor: 2x2100x3

Elementary Technical Mathematics

For what values of p does the series converge?

Study Guide for Stewart's Multivariable Calculus, 8th

How does a full-text database differ from other databases?

Research Methods for the Behavioral Sciences (MindTap Course List) 