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Homework Statement
Find the value of n so that the area of the shaded region (refer to attached picture) in the following diagram is a) 50% of the area of the unit square b) 80% of the area of the unit square
Homework Equations
Definate integral properities, fundamental theorem of calculus
The Attempt at a Solution
My teacher says this is an easy question, but I cannot seem to solve it. My first guess was to take the integral of the two functions and then use the percentages as the answers for the integral, solving for n in each case (in this case I made 50% = 1/2 and 80% = 4/5). This did not get me very far for I came up with square roots and fractions in my answers when they should be simply be one number answers. Am I doing this question right through this method, or is this the wrong procedure and do I need to do something different to find the correct answers? Any help would be very welcome, thanks in advance. PS: sorry for the bad picture :tongue:
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