Question

Nodes Show that the integral is convergent EXAMPLE 9 SOLUTION We can't evaluate the integral directly because the antiderlvative of eis not an elementary function, We write de and observe that the first integral on the right hand side is just an ordinary definite Integral. In the second integral we use the fact that for x 1 we have X ax so-XSxand therefore e Se' Video Example 49 (See the fioure) The integral of e is easy to evaluate Tutorial Online Texthook lim Thus taking /()Hand g(x)ein the Comparison Theorem, we see that the integral is convergent

Answer 1

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