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Integrals with Logarithms Z lnaxdx xax (42) Z lnax x dx= 1 2 (lnax)2 (43) Z ln(ax+ b)dx= x+ a ln(ax+ b) x;a6= 0 (44) Z ln(x2 + a2) dx = xln(x + a) + 2atan 1 x a 2x (45) x2 a) dx = ) + ln x+ a x a 2 (46) ln ax +bx c dx a 4ac b2 tan 1 2ax+ b p 4ac b2 2x+ b 2a + ln ax2 +bx c (47) Z xln(ax+ b)dx= bx 2a 1 4 x2 + 1 2 x2 b2 a2 ln(ax+ b) (48) Z xln a2 ...

Right click on any integral to view in mathml. Use this scroll bar ↓. © 2014. From http://integral-table.com , last revised July 15, 2014. This material is provided as is without warranty or representation about the accuracy, correctness or suitability of this material for any purpose.

Integration is the basic operation in integral calculus. While differentiation has straightforward rules by which the derivative of a complicated function can be found by differentiating its simpler component functions, integration does not, so tables of known integrals are often useful. This page lists some of the most common antiderivatives.

5.2 The Definite Integral; 5.3 The Fundamental Theorem of Calculus; 5.4 Integration Formulas and the Net Change Theorem; 5.5 Substitution; 5.6 Integrals Involving Exponential and Logarithmic Functions; 5.7 Integrals Resulting in Inverse Trigonometric Functions

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Dec 21, 2020 · For this course, all work must be shown to obtain most of these integral forms. Of the integration formulas listed below, the only ones that can be applied without further work are #1 - 10, 15 - 17, and 49 and 50.