wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

(x+3)ex(x+4)2dx is equal to

A
1(x+4)2+C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
ex(x+4)2+C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
ex(x+4)+C
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
ex(x+3)+C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C ex(x+4)+C
(x+3)ex(x+4)2dx = (x+4)exex(x+4)2dx=ex(x+4)dxex(x+4)2dxBy applying integration by parts in the first part= ex(x+4)+ex(x+4)2dxex(x+4)2dx= ex(x+4)+C

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Integration
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon