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

Write down an integral that can be solved with integration by parts by choosing uto be the entire integrand anddv=dx.

Short Answer

Expert verified

The integral which can be solved with integration by parts by choosing uto be the entire integrand and dv=dxis lnxdx

Step by step solution

01

Step 1. Given information 

Here, we are asked to find an integral in which we can choose uto be the entire integrand and dv=dxwhile solving the integral using integration by parts.

02

Step 2. Concept

If uand vare differentiable functions, then the formula for integration by parts isudv=uv-vdu

03

Step 3. Finding the integral

Consider the integrand to be lnx.

Then, in the integral lnxdx, we will be considering u=lnxwhich is the integrand anddv=dxwhile solving the integral using integration by parts.

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