International Baccalaureate (IB)International Baccalaureate (IB)Integration by PartsIntegration by PartsExample Example 11(QIN-004)(QIN-004)

http://scholastictutors.webs.com

(QIN-004)1

http://scholastictutors.webs.com

Integration by Parts (QIN-004) QuestionQuestion

Evaluate the following indefinite integral using Integration by Parts.

xI xxe d

2

Integration by Parts Formula:

dv v vu u du

http://scholastictutors.webs.com

http://scholastictutors.webs.com 3

Integration by Parts (QIN-004) Model SolutionsModel Solutions

Let, and

Then a

(ANS

n

)

d

x

x

x

x x x

x x

xe

e

e

xe

I udv uv vdu

u x dv

I udv x

I x K

dx

dx

du dx v

dx e e

e e

dx

x xdxe e

International Baccalaureate (IB)International Baccalaureate (IB)Integration by PartsIntegration by PartsExample Example 11(QIN-004)(QIN-004)

http://scholastictutors.webs.com

(QIN-004)4

END

If you like to see similar solutions to any Mathematics problem pleaseIf you like to see similar solutions to any Mathematics problem pleasecontact us at: home.video.tutor@gmail.com with your request.