wiz-icon
MyQuestionIcon
MyQuestionIcon
3
You visited us 3 times! Enjoying our articles? Unlock Full Access!
Question

Evaluate exsinx dx

A
ex(cosxsinx)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
ex2(cosxsinx)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
ex2(cosx+sinx)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
ex(cosx+sinx)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B ex2(cosxsinx)
Let I=exsinx dx
Using Integration by parts method we have,
exsinx dx=exsinxdx(dexdxsinxdx) dx
excosx+excosxdx
excosx+excosxdx(dexdxcosxdx)dx
excosx+exsinxexsinxdx
I=excosx+exsinxexsinxdx
I=excosx+exsinxI
2I=ex(cosxsinx)
I=ex2(cosxsinx)

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Integration
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon