- #1

Rectifier

Gold Member

- 313

- 4

**The problem**

Show that ## 1-x+ \int^x_1 \frac{\sin t}{t} \ dt < 0## for ## x > 1 ##

**The attempt**

I rewrite the integral as

##\int^x_1 \frac{\sin t}{t} \ dt < x-1 ##

This is about where I get. Can someone give any suggestions on how to continue from here?