Mid Please solve #4 Calculate the following indefinite integrals integral 1/25 +
ID: 2879277 • Letter: M
Question
Mid Please solve #4
Calculate the following indefinite integrals integral 1/25 + x^2 dx integral 1/squareroot 36 - x^2 Calculate the following indefinite integral integral 12 - 3x/squareroot 9 - x^2 Find the centroid of the region in the plane bounded by the graphs of sin(x) (in radians of course) and y = 2 for 0 lessthanorequalto x lessthanorequalto pi. In the previous question was it necessary to Calculate M_y ? Could you have found x otherwise ? Calculate the volume created when the graph of y(x) = sin (x) is revolved around the line y = 1 for 0 lessthanorequalto x lessthanorequalto pi.Explanation / Answer
yes it is necessary to calculate My to find centroid
the formulas to find centroid are
My = [a to b] x [f(x) - g(x)] dx
Mx = 1/2 [a to b] [f(x)^2 - g(x)^2] dx
M = [a to b] [f(x) - g(x)] dx
centroid... (xbar, ybar) = (My/M , Mx/M)