討論串[積分] 4題積分
共 5 篇文章
內容預覽:
令 y = x^(1/3) , 則 x = y^3 => dx = 3y^2 dy. x = 0 y = 0. =>. x = 1 y = 1. 1 dx. ∫ -------------. 0 1 + x^(1/3). 1 3y^2. = ∫ -------- dy. 0 1 + y. 1 3.
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內容預覽:
令 y = x^(1/2) , 則 x = y^2 => dx = 2y dy. x = 16 => y = 4. x = 9 => y = 3. 16 x^(1/2). ∫ --------- dx. 9 x - 4. 4 y. = ∫ (---------)(2y) dy. 3 y^2 - 4.
(還有666個字)
內容預覽:
令 y = (x+1)^(1/2) , 則 y^2 = x+1 => x = y^2 - 1 => dx = 2y dy. dx. ∫------------------. (x)((x+1)^(1/2)). 2y. = ∫-------------- dy. (y^2 - 1)(y). 2. =
(還有373個字)
內容預覽:
令 y = x+1 , 則 x = y - 1 => dx = dy. x^3. ∫--------- dx. (x+1)^3. (y-1)^3. = ∫--------- dy. y^3. y^3 - 3y^2 + 3y - 1. = ∫--------------------- dy. y^3.
(還有513個字)