Calculate the integral. \int_{1}^{3}|2x-4|dx

David Young

David Young

Answered question

2021-12-30

Calculate the integral.
13|2x4|dx

Answer & Explanation

Fasaniu

Fasaniu

Beginner2021-12-31Added 46 answers

Step 1
Consider the provided integral,
13|2x4|dx
Evaluate the provided integral.
The our function is defined at the point 2.
a<b<c : f(b)=undefined
So, acf(x)dx=abf(x)dx+bcf(x)dx
Therefore,
13|2x4|dx=122x+4dx+232x4dx
Step 2
Simplifying further,
13|2x4|dx=122x+4dx+232x4dx
=[x2]12+4[x]12+[x2]234[x]23
=-[4-1]+4[2-1]+[9-4]-4[3-2]
=-3+4+5-4
=-3+5
=2
Hence.
trisanualb6

trisanualb6

Beginner2022-01-01Added 32 answers

(2x4)dx
(2x4)dx=x24x
Lets
Vasquez

Vasquez

Expert2022-01-07Added 669 answers

13|2x4|dx
Transform
12(2x4)dx+232x4dx
Evaluate
1+1
Answer:
2

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