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1. www.mathportal.org › formulas › integration_formulasIntegration Formulas - Math Portal

   www.mathportal.org › formulas › integration_formulas

   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.

2. drive.google.com › file › dINTEGRATION FORMULAS.pdf - Google Drive

   drive.google.com › file › d

   Page 2 of 6. INTEGRATION FORMULAE STANDARD INTEGRALS 1. ∫, ( )- ( ) , ( )- [where, n ≠ 1- 2. ∫ ( ) ( ) * ( )+ 3. ∫ ( ) ∫ ( ) [where, v be the function of x]

3. people.math.sc.edu › josephcf › TeachingSection 8.1: Using Basic Integration Formulas - University of...

   people.math.sc.edu › josephcf › Teaching

   A Review: The basic integration formulas summarise the forms of indefinite integrals for may of the functions we have studied so far, and the substitution method helps us use the table below to evaluate more complicated functions involving these basic ones.

4. www.math.unl.edu › ~mbrittenham2 › classwkBasic integration formulas - University of Nebraska–Lincoln

   www.math.unl.edu › ~mbrittenham2 › classwk

   Integration by parts: u dv = uv. −. v du + C. ax + b. Partial Fractions: to integrate a function like : (x + c)(x + d) ax + b A B A(x + d) + B(x + c) Write = + = , (x + c)(x + d) (x + c) (x + d) (x + c)(x + d) so ax + b = A(x + d) + B(x + c) = (A + B)x + (Ad + Bc), so a = A + B and b = Ad + Bc; solve for A and B .

5. www.math.unl.edu › ~mbrittenham2 › classwkBasic integration formulas - University of Nebraska–Lincoln

   www.math.unl.edu › ~mbrittenham2 › classwk

   Basic integration formulas. (x + c)(x + d) (x + c) (x + d) (x + c)(x + d) so ax + b = A(x + d) + B(x + c) = (A + B)x + (Ad + Bc), so a = A + B and b = Ad + Bc; solve for A and B . The approach for more general denomenator can be found in nearly any calculus textbook.

6. math.uh.edu › ~bekki › 1432Integration Rules and Formulas - UH

   math.uh.edu › ~bekki › 1432

   Integration Rules and Formulas Properties of the Integral: (1) Z b a f(x)dx = Z a b f(x)dx (2) Z a a f(x)dx = 0 (3) Z b a kf(x)dx = k Z b a f(x)dx (4) Z b a [f(x)+g(x)]dx =

7. math.wvu.edu › ~hlai2 › TeachingBasic Integration Formulas - West Virginia University

   math.wvu.edu › ~hlai2 › Teaching

   Basic Integration Formulas. Power functions: xn+1. xn = + C, n 6= −1. + 1. 1. dx = ln |x| + C. x. 2. Trigonometric functions: Z. (3) sin xdx = − cos x + C. Z. (4) cos xdx = sin x + C. Z. (5) sec2xdx = tan x + C. Z. (6) csc2 xdx = − cot x + C. Z. (7) sec x tan xdx = sec x + C. Z. (8) csc x cot x = − csc x + C. 3. Exponential function: Z.