數學問題疑難~

2007-03-03 9:03 pm
a)
求ln x = (x/e) - ∫ √(1-cos2xdx) ∫由π到0
於(0, +∞)內只有兩個唔同既實根


b)
   e^x + 2 , x<0
f(x) ={
   a + x , x≧0

於x = 0 , a = ?

回答 (1)

2007-03-03 9:32 pm
✔ 最佳答案
a) differniate both sides wrt x :
1/x=1/e -sqrt (1- cos2x)(put x=0)
By change of variable in fundemental law of calculus
1/x=1/e-0
x=e

b)It is very easy !!!
e^x + 2=a+x
a= e^x-2-x= 1-2-0 =-1


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