another one

I₁=_{Î /6}âˆ«^{Î /3}sinx/x

I₂=âˆ«(same limits )sin(tanx)/tanx

I₃=âˆ«(same limits)sin(sinx)/sinx

give the relation between I1 I2 and I3

7 Answers

I₃>I₁>I₂

can u give the soln moon

kkk

I₃<I₁<I₂

please sum one post solutions

341

Hari Shankar ·2009-02-08 00:15:44

The function f(x) = sin x / x is a decreasing function on [0, Ï€/2].

Also tanx > x > sin x in the given interval.

Hence sin(sin x)/ sin x> sin x/ x > sin(tan x)/tan x

Hence I₃>I₁>I₂

thank you sir

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