3. Let f(x) = x(x² + 1)3/2. (a) Evaluate fo f(x)dx using integration by parts. (b) Evaluate f, f(x)dx using trigonometric substitution.
3. Let f(x) = x(x² + 1)3/2. (a) Evaluate fo f(x)dx using integration by parts. (b) Evaluate f, f(x)dx using trigonometric substitution.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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![3. Let f(x) = x(x² + 1)/2.
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(a) Evaluate fo f(x)dx using integration by parts.
(b) Evaluate f, f(x)dx using trigonometric substitution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3a15a79-3576-443f-8edb-925f5206add9%2F7240aa90-49d3-4362-a5c8-6e93334a3510%2Fnwdkotk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Let f(x) = x(x² + 1)/2.
%3D
(a) Evaluate fo f(x)dx using integration by parts.
(b) Evaluate f, f(x)dx using trigonometric substitution.
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