Which of the following integrals are improper integrals? 1. int_0^3(3-x)^2 3dx 2. int_1^16 (e^sqrtx)/sqrtx dx

fortdefruitI 2020-12-05 Answered

Which of the following integrals are improper integrals?
1.03(3x)2{3}dx
2.116exxdx
3.13x3dx
4.223(x+1)1dx
a) 1 only
b)1 and 2
c)3 only
d)2 and 3
e)1,3 and 4
f)All of the integrals are improper

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Expert Answer

Adnaan Franks
Answered 2020-12-06 Author has 92 answers

Step 1
Given,
Improper integrals.
Step 2
Now,
The improper integrals are those integrals which has a infinite intervals of integration and integrals with discontinuous integrands in the section.
So, from the options, we have
The integral 13x3dx has infinite intervals.
The integral 13x3dx is improper integral.
Option (C) is correct.

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