Question
Asked Nov 25, 2019
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Lost with improper integrals. Need help. Thank you!

1. Let p be constant, and consider the improper integral
1
(In(r)P
For what values of p does this improper integral converge? For what values of p does it
diverge?
2. For each of the following improper integrals, determine convergence/divergence.
1
- da
(a)
In(x)dac
(b)
3. Find the area of the region bounded by y = arccos(x); y = arcsin(x); x = -1;
1
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1. Let p be constant, and consider the improper integral 1 (In(r)P For what values of p does this improper integral converge? For what values of p does it diverge? 2. For each of the following improper integrals, determine convergence/divergence. 1 - da (a) In(x)dac (b) 3. Find the area of the region bounded by y = arccos(x); y = arcsin(x); x = -1; 1

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Step 1

Hey, since there are multiple questions posted, we will answer first question. If you want any specific question to be answered then please submit that question only or specify the question number in your message

Step 2

Evaluate the given improper ...

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1 dx lim 1 dx x(n(x) x(n(x) =lim(In (x)) d(In (x)) co 2 co2 (In(x) 1-p if p 1 lim 1-p Co In (In (x)) if p 1 (In (c)- (In (2) lim if p 1 1- p C0 In(In (c))-n (In (2)) if p 1

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Advanced Math