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

Solve the integral: xsinxdx

Short Answer

Expert verified

The required answer is-xcosx+sinx+c.

Step by step solution

01

Step 1. Given information. 

We have given integral isxsinxdx.

02

Step 2. Solve the integration by parts . 

We have,

u=xdu=dx

and

localid="1648636397500" dv=sinxdxv=sinxdxv=-cosx

The formula of integration by parts is localid="1648645366461" udv=uv-vdu

xsinxdx=x(-cosx)-(-cosx)dx=-xcosx+cosx=-xcosx+sinx+c

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