Αποτελέσματα Αναζήτησης
Integration Formulas. 1. Common Integrals. Indefinite Integral. Method of substitution. ∫ f ( g ( x )) g ′ ( x ) dx = ∫ f ( u ) du. Integration by parts. ∫ f ( x ) g ′ ( x ) dx = f ( x ) g ( x ) − ∫ g ( x ) f ′ ( x ) dx. Integrals of Rational and Irrational Functions. + 1. ∫ x dx. n xn. = + C. + 1. ∫ dx = ln x + C. x. ∫. c dx = cx + C. x. 2.
Integral formulas are listed along with the classification based on the types of functions involved. Also, get the downloadable PDF of integral formulas for different functions like trigonometric functions, rational functions, etc.
Microsoft Word - basicIntformulas.docx. Basic Integration Formulas: Calculus II. Students are required to memorize #1~20. 1. ∫ du = u + C. 2. ∫ kdu = + ku C , for any k. 3. ∫ du + dv = ∫ du + ∫ dv. 4. ∫ u. n. = n + 1. + du u C. + 1. „ - 1 ) ( du. 5. ∫ = + ln | u | C. u. ∫ = - + 6 . sin udu cos u C. 7. ∫ cos udu = sin u + C. 8. ∫.
II. Evaluate the following definite integrals.
This booklet contains the worksheets for Math 1B, U.C. Berkeley’s second semester calculus course. The introduction of each worksheet briefly motivates the main ideas but is not intended as a substitute for the textbook or lectures. The questions emphasize qualitative issues and the problems are more computationally intensive.
Calculus Cheat Sheet Visit http://tutorial.math.lamar.edu for a complete set of Calculus notes. © 2005 Paul Dawkins Integrals Definitions Definite Integral: Suppose fx( ) is continuous on [ab,]. Divide [ab,] into n subintervals of width Dx and choose * x i from each interval. Then () (*) 1 lim i b a n i fxd xx Æ• = • Ú =Â D.
Table of Integrals∗ Basic Forms Z xndx = 1 n+ 1 xn+1 (1) Z 1 x dx= lnjxj (2) Z udv= uv Z vdu (3) Z 1 ax+ b dx= 1 a lnjax+ bj (4) Integrals of Rational Functions Z 1 (x+ a)2 dx= ln(1 x+ a (5) Z ... Integrals with Trigonometric Functions Z sinaxdx= 1 a cosax (63) Z sin2 axdx= x 2 sin2ax 4a (64) Z sinn axdx= 1 a cosax 2F 1 1 2; 1 n 2; 3 2;cos2 ...
