課程名稱︰微積分乙下
課程性質︰必帶
課程教師︰張樹城
開課學院：生科院
開課系所︰生科系.生技系
考試日期（年月日）︰2016/12/15
試題 :
dx
(a)∫─────
9x^2+6x+10
-1
(b)∫根號(1+x^2)dx
1
(c)∫e^x*cosx dx
(n-1)π
(d)lim 1/n (sin π/n+sin 2π/n+...+sin────+sinπ)
n→∞ n
1
(e)∫ln(x^2+1)dx
0
(f)∫sin^(-1) x dx
(g)∫cos^2 x dx.
4
(h)∫e^(根號x)dx.
0
π/2 1
(i)∫ ──── dx
0 2+sinx
(j)Suppose that f(x) is a continuous function defined by
x f(t)
f(x)=2+∫ ───── dt, x>=0.
0 (t+1)(t+2)
Find f(1).