matched filters

[logistic_guy]

here is the question

Find the matched filters $\displaystyle g(T - t), 0 \leq t \leq T$, and find $\displaystyle \int_{0}^{T}g(t)g(T- t)dt$ for the following waveforms.

(a) Rectangular pulse: $\displaystyle g(t) = \sqrt{2/T}$.
(b) Sinc pulse: $\displaystyle g(t) = sinc(t)$.
(c) Gaussian pulse: $\displaystyle g(t) = (\sqrt{\pi/\alpha})e^{-\pi^2t^2/\alpha^2}$.


myattemb
i'll start with (b)
$\displaystyle \int_{0}^{T}sinc(t)sinc(T- t)dt$
the book have answer for $\displaystyle T = 1$
i'm very bad in integration and when i use wolframalfa website
$\displaystyle \int_{0}^{1}sinc(t)sinc(1- t)dt = 0.893066$

it say wrong answer

the book is wrong or the website is wrong?