Section 5.6 : Definition of the Definite Integral
3. Evaluate : \( \displaystyle \int_{4}^{4}{{\frac{{\cos \left( {{{\bf{e}}^{3x}} + {x^2}} \right)}}{{{x^4} + 1}}\,dx}}\)
Show SolutionThere really isn’t much to this problem other than use Property 2 from the notes on this section.
\[\int_{4}^{4}{{\frac{{\cos \left( {{{\bf{e}}^{3x}} + {x^2}} \right)}}{{{x^4} + 1}}\,dx}} = \require{bbox} \bbox[2pt,border:1px solid black]{0}\]