GATE CE 2016 Set 2 — Question 39
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Engineering Mathematics → Calculus → Area & Volume via Integration
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Question
The area between the parabola and the straight line is _________.
Correct answer
85 to 85.5
Solution
To find the area between the parabola and the straight line :
The area is approximately .
1.Find the points of intersection:
Equating the two expressions for :2.Set up the area integral:
The area is the integral of the upper function () minus the lower function () from to .3.Evaluate the integral:
Since the integrand is an even function, we can simplify the calculation:The area is approximately .
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