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:xlnxdx

Short Answer

Expert verified

The required answer isx24ln(x)-x28+c.

Step by step solution

01

Step 1. Given information. 

We have given integral isxlnxdx.

02

Step 2. Solve the integration by parts .  

We have,

xlnxdx=x2lnxdx=12xlnxdx

u=lnxdu=dxx

and

dv=xdxv=xdxv=x22

The formula of integration by parts is udv=uv-vdu.

localid="1648797136253" 12xlnxdx=12lnxx22-x221xdx=12x22lnx-12xdx=x24ln(x)-x28+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