Asked by edward

find the centroid of the area of the finite region enclosed by the curve y=x^(2)+1, when x-axis and the line, x=0 and x=3

Answers

Answered by Steve
Just use the formula. The x-coordinate is

∫[0,3] xy dx = ∫[0,3] x^3+x dx
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∫[0,3] y dx = ∫[0,3] x^2+1 dx

∫[0,3] x^3+x dx
-------------------
∫[0,3] x^2+1 dx

Then do the same for y, using x = √(y-1) since we are in the first quadrant.
Answered by edward
but steve i don,t know it dat is why i posted it so that i can gt help from you guys to help me study further
Answered by Steve
If you do not understand the integral equations, you have a long way to go, namely calculus. Go pick up any 1st-year calculus book, and somewhere in its index you will find how to determine the centroid of a curved area. Google will also help, with many examples, but unless you have picked up come calculus, they will be incomprehensible.
Answered by edward
ok thanks steve,i will do just dat
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