> 
> Correct to 4 significant figures
>  $$\int\_{1}^{2}{\csc^24tdt}$$
> 
> 
> 

Done this multiple times now and can't seem to get the answer at the back of the book.
Here's my attempt:
$$\int\_{1}^{2}{\csc^24tdt}$$
$$-\dfrac{1}{4}\left[\cot 4(2)-\cot 4(1)\right]\_{1}^{2}$$
$$-\dfrac{1}{4}\left[\frac{1}{\tan 8}-\frac{1}{\tan4}\right]$$
$$-\dfrac{1}{4}\left[-0.1471-0.8637\right]$$
$$-\dfrac{1}{4}\left[-1.0108\right]$$
$$0.2527$$

Back of the book has a similar answer which is $0.2572$

Where am I going wrong?