Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Expressing geometric quantities with integrals: Express each of the given geometric quantities in terms of definite integrals. You do not have to solve the integrals.

The signed area of the region between the graph off(x)=sinx and the x-axis on 0,3π2

Short Answer

Expert verified

The integral will be03π2sinxdx.

Step by step solution

01

Step 1. Given information.

The given function and interval isf(x)=sinxand0,3π2

02

Step 2. Required integral.

We know,

The signed area =abf(x)dx

Therefore, according to the question, the area can be represented as03π2sinxdx.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.

Sign-up for free