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

If esin2xsinx(cosx+cos3x)dx=f(x)+C, where C is a constant of integration, then f(x) equals

A
12esin2x(3sin2x)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
12esin2x(112cos2x)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
esin2x(3cos2x+2sin2x)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
esin2x(2cos2x+3sin2x)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 12esin2x(3sin2x)
I=esin2xsinx(cosx+cos3x)dx
I=esin2xsinxcosx dx+esin2xsinxcos3x dx
Put sin2x=t2sinxcosx dx=dt
I=12etdt+12et(1t)dt
=etdt12tetdt
=et12[tetet]+C
=32et12tet+C
=12(3sin2x)esin2x+C

flag
Suggest Corrections
thumbs-up
8
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Integration by Parts
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon