Find the area of region bounded by the graphs of the equation. y=5x^{2}+2

amanf

amanf

Answered question

2021-09-21

Find the area of region bounded by the graphs of the equation. y=5x2+2,x=0,x=2,y=0

Answer & Explanation

Latisha Oneil

Latisha Oneil

Skilled2021-09-22Added 100 answers

The value of the integral is actually represented by the area of the region enclosed by the graphs: 
02(5x2+2) dx 
The Sum Rule, the Power Rule, and the Fundamental Theorem of Calculus can all be used to solve this integral:
02(5x2+2) dx =025x2 dx +022 dx  
=5x33| {0}2+2x|02 
=[52335033]+[2220] 
=403+4 
=523 
Answer: 523

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