Evaluate the following integrals.
(a) ∫ 0 3 4 1 1 + 16 x 2 d x {\displaystyle \int _{0}^{\frac {\sqrt {3}}{4}}{\frac {1}{1+16x^{2}}}~dx}
(b) ∫ x 2 ( 1 + x 3 ) 2 d x {\displaystyle \int {\frac {x^{2}}{(1+x^{3})^{2}}}~dx}
(c) ∫ 1 e cos ( ln ( x ) ) x d x {\displaystyle \int _{1}^{e}{\frac {\cos(\ln(x))}{x}}~dx}
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