Integral of [tanx] from 0 to pi where [] denotes greatest integer function....

Question

random231 · Answer

@ganeshie8

random231 · Answer

$$\int\limits_{0}^{\pi}[tanx]dx$$

ganeshie8 · Answer

it will be something like below :
tan(0) + tan(1) + tan(2) + (pi-3)tan(3)

fix the signs.. .

random231 · Answer

my problem is that i dont know wat to do with the greatest integer fuction.!!!

ganeshie8 · Answer

one sec, let me think a bit.. .
disregard my previous reply its totally wrong :|

random231 · Answer

if it was a mod then i wud have removed the mod and assign the respective signs

ganeshie8 · Answer

meantime let me call few experts @experimentX  @eliassaab  @Callisto

experimentx · Answer

diverges ... 
C.V.P. is 0.

experimentx · Answer

random231 · Answer

so its 0???

experimentx · Answer

No ... it does not converge since there is singularity at pi/2.

random231 · Answer

that means if we try solving by the method of limit of sums  it wud result into an infinite series sum???

experimentx · Answer

yes ...

random231 · Answer

ok thanks!!

random231 · Answer

thank u too ganeshi

experimentx · Answer

random231 · Answer

allright!! :))