Αποτελέσματα Αναζήτησης
Looking for Integral Calculus books? Here we present more than 20 books that you can download for free and print in your home.
Differential Calculus finds Function .2/ from Function .1/. We recover the speedometer information from knowing the trip distance at all times. Integral Calculus goes the other way. The “integral” adds up small pieces, to get the total distance traveled. That integration brings back Function .1/.
www.mathportal.org 5. Integrals of Trig. Functions ∫sin cosxdx x= − ∫cos sinxdx x= − sin sin22 1 2 4 x ∫ xdx x= − cos sin22 1 2 4 x ∫ xdx x= + sin cos cos3 31 3 ∫ xdx x x= − cos sin sin3 31 3 ∫ xdx x x= − ln tan sin 2 dx x xdx x ∫=
Contents Preface xvii 1 Areas, volumes and simple sums 1 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Areas of simple shapes ...
Integrals and derivatives can be mostly explained by working (very briefly) with sums and differences. Instead of functions, we have n ordinary numbers. The key idea is nothing more than a basic fact of algebra. In the limit as n , it becomes the basic fact of calculus.
Table 1.1: The list of basic integration rules. Example 1.4 Evaluate the integral. +c = 1 +c. Note that we sometimes need to express an integrand in a form in which we can recognize its derivative like item 2 in the previous example. 1 - 8 Evaluate the integral. 2g(x) dx. 2tan x+c, where c = 3c1 2c2.
Integrals and derivatives can be mostly explained by working (very briefly) with sums and differences. Instead of functions, we have n ordinary numbers. The key idea is nothing more than a basic fact of algebra. In the limit as n + co,it becomes the basic fact of calculus.
