'Substitute back' presentation slideshows

U Substitution Method of Integration

U Substitution Method of Integration. 5.5. The chain rule allows us to differentiate a wide variety of functions, but we are able to find antiderivatives for only a limited range of functions. We can sometimes use substitution to rewrite functions in a form that we can integrate.

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WARMUP

WARMUP. 1). 2). 6.2:Integration by Substitution & Separable Differential Equations.

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Integration by Substitution

Integration by Substitution. Greg Kelly Hanford High School Richland, Washington Adapted by: Jon Bannon. M.L.King Jr. Birthplace, Atlanta, GA. Photo by Vickie Kelly, 2002.

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6.2 Integration by Substitution & Separable Differential Equations

6.2 Integration by Substitution & Separable Differential Equations. Greg Kelly Hanford High School Richland, Washington. M.L.King Jr. Birthplace, Atlanta, GA. Photo by Vickie Kelly, 2002.

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Example 1:

The chain rule allows us to differentiate a wide variety of functions, but we are able to find antiderivatives for only a limited range of functions. We can sometimes use substitution to rewrite functions in a form that we can integrate. Example 1:.

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Unit 23 Algebraic Manipulation

Unit 23 Algebraic Manipulation. Unit 23 Algebraic Manipulation. 23.1 Simultaneous Linear Equations. Problem Solve the pair of simultaneous equations. Solution In order to be able to eliminate x , we multiply the first equation by 4 and the second by 3, to give.

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3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution. Solving Systems of Equations using Substitution. Steps: 1. Solve one equation for one variable ( y = ; x = ; a =) 2. Substitute the expression from step one into the other equation.

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Integration

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Trigonometric Integrals

Trigonometric Integrals. Antiderivatives that Deal with the Trigonometry. We already know the following from Chapter 4:. But what are the integrals of tangent, secant, cosecant, and cotangent?. Example 1. Trick:. Define u and du :. Substitute to replace EVERY x and dx :.

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