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

1sin3xsin(x+α)dx,anπ,nϵZ is equal to

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

The correct option is B 2(cosα+cotxsinα)1/2+C
dxsin3xsin(x+α)=dxsin2xcosα+cotxsinα=(cosα+cotxsinα)12d(cotx)
=2(cosα+cotxsinα)12+C

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Trigonometric Ratios of Special Angles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon