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    convergence of improper integral

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    1. Find a function f(x) = x^k and a function g such that f(g(x)) = h(x) = (3x + x^2)^0.5;

    2. Express the distance between the point (3, 0) and point P(x, y) of the parabola y = x^2 as a function of x

    3. Determine whether converges or diverges. If it converges, evaluate the integral

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    Solution Summary

    The solution is comprised of detailed explanations of distance between two points and the test of the convergence of improper integral.