This document is a PowerPoint presentation about Type I and II improper integrals made by five students. It defines an improper integral as a definite integral with infinite limits or an integrand that approaches infinity at points within the range of integration. The presentation separates improper integrals into three types, and focuses on the first two types: Type I integrals have infinite limits but integrands that approach zero, while Type II integrals have integrands that approach infinity at finite limits. Examples of each type are provided.

1. Calculus
PPT on Type I and II improper
integrals
Made by-
Jinil Patel 17BECEM038
Riddhi Hindocha17BECEM039
Mrugeshsinh Raulji 17BECEG040
Dhananjaysinh Jhala 17BECEM041
Hiral Parmar 17BECEM042
[FY CE 1 Batch B]

2. WHAT IS IMPROPER INTEGRAL ?
 An improper integral is a
definite integral that has
either or both limits infinite
or an integrand that
approaches infinity at one
or more points in the
range of integration.
 They are generally divided
into 3 types or kinds: 1st
kind, 2nd kind and 3rd kind.

3. IMPROPER INTEGRAL OF 1ST KIND

4. EXAMPLES OF 1ST KIND IMPROPER
INTERGRALS

10. IMPROPER INTEGRAL OF 2ND KIND

11. EXAMPLES OF 2ND KIND IMPROPER
INTERGRALS