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

If I=3π0[tanx]dx, where [.] represents the greatest integer function, then the value of 2Iπ is

Open in App
Solution

I=3π0[tanx]dx (1)
Also, I=3π0[tan(3πx)]dx
I=3π0[tanx]dx (2)
Adding (1) and (2),
2I=3π0([tanx]+[tanx])dx
2I=3π0dx ([x]+[x]=1 xZ)
I=3π2

2Iπ=3

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Property 3
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon