A smart idea consists in ``cleaning'' them through an algebraic substitution which transforms the given integrals into easier ones. Let us first explain how the substitution technique works.
www.sosmath.com/calculus/integration/substitution/subst... www.sosmath.com/calculus/integration/substitution/substitution.html
Calculus- Techniques of Integration: Substitution-Example1 ... Let us consider the substitution (the reason behind is the presence of x in the integral since the derivative of is 2x). Indeed, we have du = 2x dx and therefore...
www.sosmath.com/calculus/integration/substitution/Examp... www.sosmath.com/calculus/integration/substitution/Example1/Example1.html
Many integrals are most easily computed by means of a change of variables, commonly called a $u$-substitution. ... Substitute back to Change the limits of integration:
www.math.hmc.edu/calculus/tutorials/substitution/ www.math.hmc.edu/calculus/tutorials/substitution/
Integration by substitution allows changing the basic variable of an integrand (usually x at the start) to another variable (usually u or v). The relationship between the 2 variables must be specified, such as u = 9 - x2. The hope is that by changing the variable of an integrand, the value of the integral will be easier...
math.uww.edu/~mcfarlat/substit.htm
Integration using Substitution ... Method of Substitution. Discussion [Using Flash] [Using Java] ... Examples of integrals evaluated using the method of substitution:
archives.math.utk.edu/visual.calculus/4/substitutions.3... archives.math.utk.edu/visual.calculus/4/substitutions.3/
Integration by substitution - Wikipedia, the free encyclopedia
In calculus, integration by substitution is a method for finding antiderivatives and integrals. Using the fundamental theorem of calculus often requires finding an antiderivative. For this and other...
en.wikipedia.org/wiki/Integration_by_substitution
Integration using U-Substition of Indefinite Integrals. For more free math videos, visit http://JustMathTutoring.com and click on your subject from the left ...
www.youtube.com/watch?v=qclrs-1rpKI
; Take a look at these pre-made integration examples first. Then get your own integrals instantly! ... Integrating by Substitution ... ; This is what you would input: 1 / (2x + 3)^2...
www.calc101.com/substitution.html www.calc101.com/substitution.html
See Also: a lecture on integration by parts, A lecture on trigonometric integrals and trigonometric substitution, a lecture on the partial fraction decomposition method; This object's parent.
planetmath.org/encyclopedia/ALectureOnIntegrationBySubs... planetmath.org/encyclopedia/ALectureOnIntegrationBySubstitution.html
Several problems using integration by substitution, with solutions ... Solutions to Worksheet for Section 5.5 Integration by Substitution V63.0121, Calculus I April 27, 2009 Find the following integrals. In the case of an indefinite integral, your answer should be the most general antiderivative.
www.slideshare.net/leingang/lesson-27-integration-by-su... www.slideshare.net/leingang/lesson-27-integration-by-substitution-worksheet-solutions