# Yahoo奇摩 網頁搜尋

1. ### He ruled country B. He ruled over country b. 分別？

...statement about this There are no hard and fast rules (=clear and definite rules) about what to wear to classes. 4. rule of ( XXX 的原則...

分類：社會及文化 > 語言 2017年06月05日

...'s law, a given angle of incident only gives one definite angle of refraction. There won't be two refracted ...

分類：科學及數學 > 物理學 2017年03月30日

3. ### 4Q application of Definite integral?

Question： 1. Define f(x) = (x + 4)/(x + a) where a is a constant and x ≠ -a. Let C₁ be the curve y = f(x) with the vertical 　 asymptote x = 2. (ai) Find the value of a. (aii) Find the equation(s) of the horizontal asymptote(s) of C₁. (aiii) Find f’(x...

分類：科學及數學 > 數學 2016年09月11日

4. ### 4Q application of Definite integral?

... by the area in (b) about the x-axis 4.(a) By using a definite integral, show that the volume of a right circular cone of height h, whose base...

分類：科學及數學 > 數學 2016年09月12日

5. ### definite integral 2 question?

20160910 更改了 1(iii) 的答案 Question： 1. let f(x) be a function with a continuous second derivative f’’(x) and I = ∫(0,1) f(x) dx. (i) show that I = f(1) - ∫(0,1) xf'(x) dx...

分類：科學及數學 > 數學 2016年09月10日

6. ### 5question about Definite integral?

Question： 1. Evaluate ∫(0,π/4) (sec²x)/√(1 - tan⁡²x) dx by substitution tan x = sin y 2. For a given positive integer n, let I = ∫(0,π/4) 1/cosⁿ⁡x dx, express I₃ in terms of I₁ 3a. Show that ∫(0,π) x...

分類：科學及數學 > 數學 2016年09月01日

7. ### how to find the definite integral of sin(2x)cos(3x)sin(4x)dx of x = 0 to pi/2 ?

Note that sin(A)sin(B) = (1/2) [cos(A - B) - cos(A + B)]. Also, cos(-A) = cos(A). Therefore, sin(2x)sin(4x) = (1/2) [cos(2x) - cos(6x)]. Also note that cos(A)cos(B) = (1/2) [cos(A + B) + cos(A...

分類：科學及數學 > 數學 2016年05月17日

8. ### how to find the definite integral of (x^3)/((x^2)+4)^0.5 of x from 0 to 2 ?

∫[0 ~ 2] x³/√(x² + 4) dx Let y = x² + 4, then dy = 2x dx. When x = 0, y = 4; when x = 2, y = 8. ∫[0 ~ 2] x³/√(x² + 4) dx = ∫[4 ~ 8] (1/2) (y - 4)/√y dy = (1/2) ∫[4 ~ 8] (√y - 4/√y) dy = (1/2) [ (2/3)y^(3/2) - 8√y ]@(8 and 4) = (1/2) [ (16/3)√8 - 8√8 - 16/3 + 16 ] = (1/2...

分類：科學及數學 > 數學 2016年05月17日