The following integral can be evaluated by using substitution: a) b) c) Identify the inside function. = Differentiate: Factorise this: Rewrite the whole integral in terms of u and du: f Simplify and cancel a² +5: f Integrate with respect to u: Hence write down the indefinite integral: du 4 (2²+5) (2³+ 15z)³ dr du [4 (2²+5) (2³ +152)³ dz (Don't forget the constant of integration as this is an indefinite integral.)

The following integral can be evaluated by using substitution: a) b) c) Identify the inside function. = Differentiate: Factorise this: Rewrite the whole integral in terms of u and du: f Simplify and cancel a² +5: f Integrate with respect to u: Hence write down the indefinite integral: du 4 (2²+5) (2³+ 15z)³ dr du [4 (2²+5) (2³ +152)³ dz (Don't forget the constant of integration as this is an indefinite integral.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.3: Quadratic Equations

Problem 53E

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