The inequality $\displaystyle sec x \geq 1 + \frac{x^2}{2}$ holds on (pi/x, -pi/2). Use it to find a lower bound for the value of$\displaystyle \int \sec x dx $on the interval [0,1].

(I need LaTex help with putting the numbers up on the integral)

I have no idea how to do this.

What do they mean by lower bound? How do we find that with a inequality like this?

The answer is 7/6.