Re: [积分] 一题stewart的习题

楼主: Honor1984 (希望愿望成真)   2014-11-17 22:08:05
※ 引述《partialydx (蒸笼中的阿飞)》之铭言:
: (a)show that cos(X^2)>= cosx for 0 <= X <=1
0 <= x^2 <= x <= 1 < π/2
=> cos(x^2) >= cos(x)
: (b)deduce that π/6
: ∫ cos(X^2) >= 0.5
: 0
π/6
∫ cos(x^2) dx
0
π/6
>= ∫ cos(x) dx
0
= sin(π/6)
= 1/2 = 0.5
: 如果是多项式型的,譬如1<=根号1+X^3<=1+X^3
: 我还知道
: 可是这种的不知从何下手....

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