Section 5.7 : Computing Definite Integrals
7. Evaluate the following integral, if possible. If it is not possible clearly explain why it is not possible to evaluate the integral.
\[\int_{{ - 2}}^{4}{{{x^6} - {x^4} + \frac{1}{{{x^2}}}\,dx}}\] Show SolutionIn this case note that the third term will have division by zero at \(x = 0\) and this is in the interval we are integrating over, \(\left[ { - 2,4} \right]\) and hence is not continuous on this interval.
Therefore, this integral cannot be done.