# 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

Become a Study.com member to unlock this answer! Create your account

View this answer

The given definite integral is :

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

See full answer below.

#### Ask a question

Our experts can answer your tough homework and study questions.

Ask a question Ask a question#### Search Answers

#### Learn more about this topic:

from

Chapter 16 / Lesson 2In 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.