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1. Determine whether the integral is convergent ordivergent. If it is convergent, evaluate the improperintegral-x2(a)daxхеос3dx(b)12 — 6х + 5

Question
1. Determine whether the integral is convergent or
divergent. If it is convergent, evaluate the improper
integral
-x2
(a)
dax
хе
ос
3
dx
(b)
12 — 6х + 5
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1. Determine whether the integral is convergent or divergent. If it is convergent, evaluate the improper integral -x2 (a) dax хе ос 3 dx (b) 12 — 6х + 5

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Step 1

Given function is

a)
xe dx
-o
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a) xe dx -o

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Step 2

To determine whether the integral is divergent or convergent

First evaluate the indefinite integral

Any integral is convergent if the limit is finite and that limit is the value of the improper integral.

And any integral is divergent if the limit does not exist

Step 3

Let substit...

u x
Then 2xdr du
Hence
1
+c
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u x Then 2xdr du Hence 1 +c

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Tagged in

Math

Calculus

Integration

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