zuai-logo

  • Home

  • Cliffs

  • Talk to ZuAi

Guest Login

zuai-logo
  3. ZuAI AP College Board Calculus AB/BC
FlashcardFlashcardStudy GuideStudy Guide
Question BankQuestion Bank

Evaluating Improper Integrals

Benjamin Wright

Benjamin Wright

6 min read

Study Guide Overview

This study guide covers improper integrals, focusing on evaluating definite integrals with infinite limits or unbounded functions. It explains how to express these integrals as limits, evaluate them using the First Fundamental Theorem of Calculus, and determine convergence or divergence. Examples and a walkthrough of a 2017 AP Calculus BC FRQ are provided.

Feedback stars icon

How are we doing?

Give us your feedback and let us know how we can improve

Question 1 of 11

Which of the following integrals is considered an improper integral? 🤔

∫12x2dx∫^2_1 x^2 dx∫12​x2dx

∫05sin(x)dx∫^5_0 sin(x) dx∫05​sin(x)dx

∫1∞1x2dx∫^∞_1 \frac{1}{x^2} dx∫1∞​x21​dx

∫03e−xdx∫^3_0 e^{-x} dx∫03​e−xdx