List of integrals

• What are some common integrals?

  The simplified integral can be represented as an analog of the sum for an infinite number of infinitesimal terms. Depending on the space on which the integrand is given, the integral can be - double, triple, curved, surface, and so on.

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• How do you evaluate an integral?

  There are several methods adopted for finding the indefinite integrals. The prominent methods are: Finding integrals by integration by partial fractions. A few integrals are found by the substitution method. If u is a function of x, then u' = du/dx.

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• What is the integral of sec(x)?

  The integral of sec x is ln|sec x + tan x| + C. It denoted by ∫ sec x dx. This is also known as the antiderivative of sec x. We have multiple formulas for this. But the more popular formula is, ∫ sec x dx = ln |sec x + tan x| + C. Here "ln" stands for natural logarithm and 'C' is the integration constant.

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• What is the integral of e^x?

  The integral of e x is e x + C. Symbolically it is written as ∫ e x dx = e x + C, where C is the integration constant. How to Find the Integral of e^x?

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• [PDF File]Table of Integrals - UMD

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  ©2005 BE Shapiro Page 3 This document may not be reproduced, posted or published without permission. The copyright holder makes no representation about the accuracy, correctness, or

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• [PDF File]Table of Basic Integrals Basic Forms

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  Integrals with Trigonometric Functions (71) Z sinaxdx= 1 a cosax (72) Z sin2 axdx= x 2 sin2ax 4a (73) Z sin3 axdx= 3cosax 4a + cos3ax 12a (74) Z sinn axdx= 1 a cosax 2F 1 1 2; 1 n 2; 3 2;cos2 ax (75) Z cosaxdx= 1 a sinax (76) Z cos2 axdx= x 2 + sin2ax 4a (77) Z cos3 axdx= 3sinax 4a + sin3ax 12a 8

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• [PDF File]LIST OF BASIC INTEGRALS Z - University of Washington

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  LIST OF BASIC INTEGRALS Z kdx = kx+C Z xn dx = 1 n+ 1 xn+1 +C (n 6= −1) Z 1 x dx = ln|x|+C Z ex dx = ex +C (and more generally: Z ax dx = 1 ln(a) ax +C ) Z cos(x)dx ...

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• [PDF File]Integration Formulas - Math Portal

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  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 ...

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• [PDF File]Table of Integrals

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  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 ax (65) Z sin3 axdx= 3cosax 4a + cos3ax 12a (66) Z cosaxdx=

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• [PDF File]Symbolab Integrals Cheat Sheet

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  Symbolab Integrals Cheat Sheet Common Integrals: ∫𝑥−1 𝑥=ln(𝑥) ∫ 𝑥 𝑥 =ln(𝑥) ∫ |𝑥 𝑥=𝑥√𝑥 2 2 ∫ 𝑥 𝑥= 𝑥 ∫sin(𝑥) 𝑥=−cos(𝑥) ∫cos(𝑥) 𝑥=sin(𝑥) Trigonometric Integrals: ∫sec2(𝑥) 𝑥=tan(𝑥) ∫csc2(𝑥) 𝑥=−cot(𝑥) ∫ 𝑥

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