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12th Grade Improper Integrals Quizzes, Questions & Answers

12th Grade

Recent Improper Integrals Quizzes

Improper Integrals â€“ Convergence, Comparison & Classic Forms

Build confidence deciding convergence vs divergence. This quiz focuses on p-test behavior, integrals with vertical asymptotes, and common convergent models like exponential decay and arctan-type forms. You’ll also see how...

Questions: 15 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
An improper integral can have:

A finite limit of integration and a continuous integrand.

An infinite limit of integration or a discontinuous integrand.

Only an infinite lower limit.

Only a discontinuous integrand at an endpoint.

Improper Integrals â€“ Infinite Limits & p-Test Practice

Strengthen your skills with improper integrals by identifying why an integral is improper and choosing the correct limit setup. You’ll evaluate classic forms involving arctan and exponentials, apply the p-test, and handle...

Questions: 15 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
Which of the following is an example of an improper integral due to an unbounded integrand?

∫ from 0 to ∞ of e⁻ˣ dx

∫ from 1 to 5 of (1/(x-2)) dx, where the integrand is undefined at x=2.

∫ from -∞ to 0 of x² dx

∫₀¹0 of (x+1) dx

Improper Integrals â€“ Basics, Definitions & First Examples

Learn what makes an integral “improper” and how to evaluate it using limits. You’ll practice integrals with infinite bounds and integrals where the function becomes unbounded at an endpoint or inside the...

Questions: 15 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
What makes an integral an "improper" integral?

The integrand is a trigonometric function.

The integral has one or both limits infinite or the integrand is unbounded in the interval.

The integral requires the use of substitution to solve.

The integral represents the area of a circle.

12th Grade Improper Integrals Quizzes, Questions & Answers

Top Trending Improper Integrals Quizzes

Recent Improper Integrals Quizzes