summer1854 Posted January 20, 2008 Share Posted January 20, 2008 hi, i have the answer to this problem, but can't figure out how they did it. find the total area of the region bounded by the graph of y=x[(1-x^2)^(1/2)] and the x axis. Link to comment Share on other sites More sharing options...
ydoaPs Posted January 20, 2008 Share Posted January 20, 2008 Graph it. Break the graph into parts(parts where it is above the x-axis and below). Or you could plug in x=0 to find the x-intercepts and use test points to find the regions. Once you find the regions above and below the x-axis, you will have your limits of integration. Add the integrations of the positive portions of the graphs and subtract the integration of the negative portion of the graph. Link to comment Share on other sites More sharing options...
Country Boy Posted January 20, 2008 Share Posted January 20, 2008 If it is the integral itself that is bothering you, u= 1-x^2 is an obvious substitution. Link to comment Share on other sites More sharing options...
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