Question

9) For x>0 find the point where where the graph of h(x)= integral from 4 to x^2. e^2t/t^3 dt crosses the x-axis.

Answer 1

9) For x>0 find the point where where the graph of h(x)= integral from 4 to x^2. e^2t/t^3 dt crosses the x-axis.

By simple observation, h(x) is zero when the upper limit is equal to the lower limit, i.e. x^2 = 4, or x = +/- 2

For x > 0, h(x) = 0 when x = 2