Anonymous asked in Science & MathematicsMathematics · 1 month ago

Determine whether the following integrals are convergent or divergent. For the convergent ones, evaluate the integral.?

Attachment image

2 Answers

  • Vaman
    Lv 7
    1 month ago

    Put the upper limits. You see that both tend to 0. So they are convergent. exp function goes to 0 faster than x^3. The limit exists.

    1. The integral of first one is - exp (-y/2). Put the limits. You get the answer 1/e

    2. The integral of second is - 1/4 exp (-x^4). Put the limits. It is 0.


  • ted s
    Lv 7
    1 month ago

    2 e^(-2) and 0...note that #7 is an ODD function

Still have questions? Get your answers by asking now.