1. how do I show that cos(x^2) is greater than or equal to cos(x) for 0 < x < 1? 2. deduce that integral of cos(x^2)dx from 0 to pi/6 is greater than or equal to 1/2.
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Originally Posted by Taurus3 1. how do I show that cos(x^2) is greater than or equal to cos(x) for 0 < x < 1? 2. deduce that integral of cos(x^2)dx from 0 to pi/6 is greater than or equal to 1/2. 1) The is a decreasing function on If then so 2) There is a theorem: If each of is integrable and then .
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