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### 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 Solution

There really isn’t much to this problem other than use Property 2 from the notes on this section.

$\int_{4}^{4}{{\frac{{\cos \left( {{{\bf{e}}^{3x}} + {x^2}} \right)}}{{{x^4} + 1}}\,dx}} = \require{bbox} \bbox[2pt,border:1px solid black]{0}$