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

If x0f(t)dt=x+1xt f(t) dt, then the value of f(1) is [IIT 1998; AMU 2005]


A
12
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

0

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

12

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 12

x0 dt=x+1xt f(t) dt1xt f(t) dt=xx1t f(t) dt
Differentiating w.r.t x, we get f(x)=1+{0x f(x)}
f(x)=1x f(x)(1+x)f(x)=1f(x)=11+x
f(1)=11+1=12


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Property 5
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon