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

If f(x)=10f(xt)dt, where f(x) is a continuos function such that f(1)=2, then

A
f(x) is a periodic function
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
f(4)=2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
f(x) is an even function
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
f(4)=5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct options are
A f(x) is a periodic function
B f(4)=2
C f(x) is an even function
Put xt=zdzdt=x
f(x)=x0f(z)dzxx f(x)=x0f(z)dz
xf(x)+f(x)=f(x)
xf(x)=0
f(x)=0f(x)=cf(x)=2

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