💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Like

Report

WZ
Numerade Educator

Like

Report

Problem 12 Medium Difficulty

Determine whether each integral is convergent or divergent. Evaluate those that are convergent.

$ \displaystyle \int_{-\infty}^\infty (y^3 - 3y^2)\ dy $

Answer

$-\infty$, integral is divergent

Discussion

You must be signed in to discuss.

Video Transcript

problem is determine whether age into grotesque wouldn't order and weren't evaluated. Those that are converted but this improper, integral a definition we can write. This's Iko too integral from negative Infinity to zero I just Q minus three times while square. Why us? Integral from zero to infinity function y two threes. Power minus three times. Why square? Why on the way computer The first into girl thiss improper Integral By definition, this's the coach is the limit some number A does too Negative entity from integral from a to zero. It's a function wide too. Three minus three times Why square device? Look at this definite Integral This is Echo two one fourth. Why two? Those power minus three. I'm sorry. Oh yes. Three times one hour, three terms. I too agree from a too zero on DH planning zero and a tooth. This function this is equal to zero minus won the war floor, eh? To force minus and two. Great! This's the code too. A two three sp Our times wass one Force, eh? And alas, what? This is what goes to negative infinity and to cube goes to make to infinity on DH This part goes to hospital in vanity. Negative. Infinity times positive Infinity, Uh, is it goes to negative profanity. So this Integral and Steadward