推 fdhs688:第8題是 Beta function? 210.203.31.136 05/20 22:35
→ yhliu:No! x5 = x^2(x^3+1)-x^2, 拆成兩項積分, 用 218.170.59.200 05/21 10:29
→ yhliu:u=x^3+1 變數代換. 218.170.59.200 05/21 10:30
※ 引述《qqazw5789tw (嘟嘟)》之銘言：
: 1 Find the slope of line targent to the graph y^2+x^y=3x^2 at the point (2.2)
隱函數微分
: 2 find the area of the region enclosed by the lemniscate r^2=cos(2Θ)
積分應用 畫個圖 A=1
: 3 find the directional derivative of f(x,y)=xe^-y at the point (1,0)in the
: direction Θ=π/4
方向導數 雙變函數章節 亦有書編列在向量章節
: 4 ∫arc sinx dx
普通不定積分
: 5 suppose g is inverse function of a differentiable function f and let
: G(x)=1/g(x) if f(3)=2 and f'(3)=1/9 then G'(2)=?
反函數微分 在微分章節會提到
: 6 ∫上為π/8 下為0 cos3xcosxdx =?
普通積分 2cosmxcosnx = cos(m+n)x+cos(m-n)x
: 7 the equation of targent line to the graph of the function f(x)=x/1+√x
: at the point (1,1/2) is ?
也是微分 求出斜率 代y-y0 = m (x-x0)
: 8 evaluate the inerated integral ∫上為1 下為0 x^5 * x^3+1開根號 dx
β function
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