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The area under a curve between two points can be found by doing a definite integral between the two points. To find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. Areas under the x-axis will come out negative and areas above the x-axis will be positive.
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1. A person is standing between two vertical mountains. the person fire a gun then hears the first echo from the nearby mountain in a time 3 second and here second echo from far mountain in a time 4 second. What is the distance between two mountains?
2. A boy is standing between two walls. the wall closer to him is at the distance of 680 m. if he shouts , he hears the first echo after 4 second and another after 2 second. What is the velocity of sound in air and what is the distance between two walls.