SOLUTION: What are all the values of K for which the integral from x=2 to x=k of x^2 dx = 0? Please show work if possible.

Question 566824: What are all the values of K for which the integral from x=2 to x=k of x^2 dx = 0?
Please show work if possible.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The entire graph of y = x^2 is above the x-axis (excluding x = 0). So this means that the integral of x^2 from x = 2 to x = k will be some positive number if k is not equal to 2. This is because there is always an area under the curve (if k does not equal 2)

The only way for the integral to be zero is if k = 2. So basically, you're integrating from x = 2 to x = 2. Visually, this is a vertical line at x = 2 (between the curve x^2 and the x axis) and it has no area
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