Improper Integrals

Welcome to the "Improper Integrals" category of Questions LLC! If you have ever encountered integrals with infinitely large limits or functions that are not continuous over their entire range, then you are in the right place. Here, you will find a collection of questions and discussions focused on the concept of improper integrals. Whether you are looking for explanations, solutions, or simply want to deepen your understanding of this topic, feel free to explore and engage with others in this category. Get ready to unravel the mysteries of integrating functions that defy the conventional rules!

Questions (14)

Evaluate the improper integral∫ [4,0] 1/(𝑥−4)^3 𝑑𝑥 I am stumped please help
1. 3 answers
2. asked by Hayden
3. 250 views
∫ [∞,-∞] (x/(x^2+3)^5/2)dxEvaluate the improper integral and identify wether it converges or diverges.
1. 4 answers
2. asked by Skyler
3. 238 views
Find out what kind of improper integral is given below§dx/{x^4+4}....?,hence evaluate the integral with upper boundary=infinity
1. 5 answers
2. asked by samuel
3. 683 views
Hi, I needed help with this improper integral.lower limit : 2 upper limit : infinity integral of (lnx)/(x+1) dx Thank You so
1. 1 answer
2. asked by Bradley
3. 506 views
Hi, I needed help with this improper integral.lower limit : 2 upper limit : infinity integral of (lnx)/(x+1) dx Thank You so
1. 1 answer
2. asked by BRADLEY
3. 434 views
The question is:Evaluate the improper integral for a>0. The integral is: the integral from 0 to infinity, of e^(-y/a)dy Can
1. 2 answers
2. asked by Sara
3. 929 views
can any one explain how to evaluate this improper integral i.e. the function is not continuous at 0 neither at infintegration of
1. 2 answers
2. asked by William
3. 697 views
Could someone explain how to distinguish improper integrals in non-mathematical terms so I may understand?Thanks!
1. 1 answer
2. asked by Matt
3. 389 views
1. integral -oo, oo [(2x)/(x^2+1)^2] dx2. integral 0, pi/2 cot(theta) d(theta) (a) state why the integral is improper or
1. 1 answer
2. asked by Anonymous
3. 1,193 views
Hi, I needed help with this improper integral.lower limit : 2 upper limit : infinity integral of (lnx)/(x+1) dx Thank You so
1. 2 answers
2. asked by Bradley
3. 1,077 views
Evaluate the improper integral or state that it diverges: integral from 6 to infinity (1/t^2-5t)dt. I need help on solving this
1. 4 answers
2. asked by diana
3. 756 views
determine whether the improper integral diverges or converges. evaluate if it converges.integral of e^-xcosxdx from 0 to
1. 3 answers
2. asked by lmao
3. 711 views
Evaluate the integral: 16csc(x) dx from pi/2 to pi (and determine if it is convergent or divergent).I know how to find the
1. 3 answers
2. asked by Sam
3. 588 views
This integral does not converge using the normal (Leibniz) definition of integration. Using the identity:int(0-->inf)f(t)/(t)dt
1. 2 answers
2. asked by Dave
3. 531 views