Consider the indefinite integral[x4(8 + 6x5)7 dx.(a) The most appropriate substitution is u =(b) After making the substitution, we obtain the integralSC(c) Solving this integral (in terms of u) yields8+6x5(d) Substituting for u we obtain the answer130+ √x² (8●8U930x4X + C.4(8 + 6x5)7 dx=X(8+6x5)830)du.X + C.

We have to evaluate the integral∫x48+6x57dx.

Consider the indefinite integral x4(8 + 6x5)7 dx. (a) The most appropriate substitution is u = 8+6x5 (b) After making the substitution, we obtain the integral (c) Solving this integral (in terms of u) yields (d) Substituting for u we obtain the answer 1 u8 30 9 / 30x4 •√x ² (8 + 6x³) X + C. 4(8 + 6x5)7 dx = X (8+6x5)8 30 )du. X + C.

Consider the indefinite integral x4(8 + 6x5)7 dx. (a) The most appropriate substitution is u = 8+6x5 (b) After making the substitution, we obtain the integral (c) Solving this integral (in terms of u) yields (d) Substituting for u we obtain the answer 1 u8 30 9 / 30x4 •√x ² (8 + 6x³) X + C. 4(8 + 6x5)7 dx = X (8+6x5)8 30 )du. X + C.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.2: Exponents And Radicals

Problem 51E

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