If ∫sin5xdx=−15sin4xcosx+Asin2xcosx−815cosx+C then A is equal to
A
−2/15
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
−3/5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
−4/15
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
−1/15
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is D−4/15 Let I=∫sin5xdx Using ∫sinmxdx=−cosxsinm−1xm+m−1m∫sin−2+mxdx I=−15sin4xcosx+45∫sin3xdx =−15sin4xcosx−415sin2xcosx+815∫sinxdx =−15sin4xcosx−415sin2xcosx+815cosx