We are asked to evaluate the integral 2x V4x2 -2 dx. We determined that we could rewrite the integral in power form as 2x(4x2 - 2)1/2 dx and that we should choose the substitution u = 4x² - 2, which has du = 8x. Write dx in terms of du. dx derivative du = 8x dx 1 dx = du X Your answer cannot be understood or graded. More Information Next, rewrite the integral in terms of u by doing the appropriate substitutions and cancellations. 1 2x(4x 2)1/2dx = du X Your answer cannot be understood or graded. More Information X Your answer cannot be understood or graded. More Informationu/2du

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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We are asked to evaluate the integral
2x V4x2
2 dx. We determined that we could rewrite the integral in
power form as
| 2x(4x2 – 2)1/2 dx and that we should choose the substitution u = 4x2 - 2, which has
du
= 8x. Write dx in terms of du.
dx
derivative
du
= 8x
dx
1
du
X Your answer cannot be understood or graded. More Information x
dx =
Next, rewrite the integral in terms of u by doing the appropriate substitutions and cancellations.
1
| 2x(4x2 - 2)1/2dx =
du
X Your answer cannot be understood or graded. More Information x
Your answer cannot be understood or graded. More Information u1/2du
Transcribed Image Text:We are asked to evaluate the integral 2x V4x2 2 dx. We determined that we could rewrite the integral in power form as | 2x(4x2 – 2)1/2 dx and that we should choose the substitution u = 4x2 - 2, which has du = 8x. Write dx in terms of du. dx derivative du = 8x dx 1 du X Your answer cannot be understood or graded. More Information x dx = Next, rewrite the integral in terms of u by doing the appropriate substitutions and cancellations. 1 | 2x(4x2 - 2)1/2dx = du X Your answer cannot be understood or graded. More Information x Your answer cannot be understood or graded. More Information u1/2du
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