※ 引述《lazyman7964 (小醬)》之銘言：
: 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
: 算到有點亂....ˊˋ
: 請各位高手跟老師幫我解一下這幾題
: 方便的話....請幫我寫一下過程或解法
: 感激不盡
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