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

lf π0 x.f(Sinx)dx =kπ/20 f(Sinx)dx then the value of k is

A
π/2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
π
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
π/3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B π

π0xf(sinx)dx=kπ20f(sinx)dx
π0(πx)f(sinx)dx;kπ20f(sinx)dx
ππ0f(sinxdx)π0xf(sinx)dx
=2π0xf(sinx)dx=ππ0f(sinx)dx
π0xf(sinx)dx=π2f(sinx)dx
=π2×2π20f(sinx)dx
=ππ20f(sinx)dx
So, k=π


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