求微积分的
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求微积分的
求微积分的
求微积分的
微积分Calculus
极限 limit
积分 integration
微分 differentiation
导数derivative
极值应该是extrema
三角函数trig(trigonometric) functions
反三角函数inverse trig(trigonomic) functions
微分方程differential equations
黎曼积分Riemann Sums
定积分definite integrals
指数函数exponential functions
对数函数log(logarithmic) functions
自然对数函数 natural log functions
微积分基本定理the Fundamental Theorem of Calculus
洛必达法则l'hopital's rule
Rolle定理 Rolle's Theorem
u代入法 u substitution
弧线长度 arc length
正无穷大 positive infinity
负无穷大 negative infinity
例题
1.Find the volume of the solid formed by revolving the region by the graphs of y = x^2 +1,y = 0,and x = 1.About the y-axis.
求被函数y= x^2 +1,y = 0,和 x = 1所包围的区域围绕Y轴旋转后形成的体积.
答案是3pi/2
2.Find the area bounded by the graphs of x =3 - y^2 and x = y + 1.
求被x = 3 - y^2 和 x = y + 1 的图像所包围的面积.
答案是9/2
3.A rectangular page is to contain 24 square inches of print.The margins at the top and bottom of the page are to be 3/2 inches,and the margins on the left and right are to be 1 inch.What should the dimensions of the page be so that the least amount of paper is used?
有一页长方形的纸,上面有24平方英寸的印刷区域,纸上端和下端的空白都是3/2英寸,左边和右边的空白都是1英寸.求这张纸的长宽以使所用的纸最少.