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Convergent or Divergent? If it?s convergent, evaluate the integral. \int_{-\infty}^{\infty}...

Question:

Convergent or Divergent? If it's convergent, evaluate the integral.

{eq}\int_{-\infty}^{\infty} (y^3-3y^2)dy {/eq}

Evaluating Definite Integrals:

When we get the integral that is diverging then we don't get the finite value of that integral. So we first find the indefinite integrals and then put the limits of integration, so as to get the final value. In the process we apply the power rue, and many other integration method to get the integral.

Answer and Explanation: 1

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The given definite integral is :

{eq}\int_{-\infty}^{\infty} (y^3-3y^2)dy\\ \mathrm{Compute\:the\:indefinite\:integral}:\quad \int...

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Evaluating Definite Integrals Using the Fundamental Theorem

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Chapter 16 / Lesson 2
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In calculus, the fundamental theorem is an essential tool that helps explain the relationship between integration and differentiation. Learn about evaluating definite integrals using the fundamental theorem, and work examples to gain understanding.


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