I need help to evaluate the integral: \(\displaystyle\int{\frac{{{x}^{{{2}}}-{2}{x}+{7}}}{{\sqrt{{{3}}}{\left\lbrace{4}{x}-{1}\right\rbrace}}}}{\left.{d}{x}\right.}\)

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function
$f(x,y)=x^3-6xy+8y^3$

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