作者GLP (^__________^)
看板trans_math
标题Re: [考古] 96年高大考古题 急!
时间Sun Jul 5 17:06:33 2009
※ 引述《lazyman7964 (小酱)》之铭言：
: 1. Find the area of the region that lies inside the circle r = 1
: and outside the cardioid r = 1 - cosθ.
pi/2 1 2 2
A = 2∫ --- [1 - (1-cosθ) ] dΘ
0 2
: 2. Solve the equation
: xdy/dx = x^2 + 3y, x > 0
: given the initial condition y(1) = 2.
: π/2 2 1/2
: 3.∫ [3sin(x)cos(x)] / [1+3sin (x)] dx
: 0
pi/2 2 1/2
3.∫ [3sin(x)] / [1+3sin (x)] dsinx
0
令u=sinx 就很好解了
: 算到有点乱....ˊˋ
: 请各位高手跟老师帮我解一下这几题
: 方便的话....请帮我写一下过程或解法
: 感激不尽
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