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Calculus
-8 dt - 1

-8 dt - 1

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Question
Evaluate
-8 dt 13 VR – 1 | Page generated at 10/09/2021 at 09:59am EDT 41996-2019) theme: math4 ww version: 2.15 | pg version 2.15 The WeBWorK Project
Transcribed Image Text:-8 dt 13 VR – 1 | Page generated at 10/09/2021 at 09:59am EDT 41996-2019) theme: math4 ww version: 2.15 | pg version 2.15 The WeBWorK Project
Expert Solution
Step 1

Given:

       ∫22-8t3t2-1dt

    =-8∫221t3t2-1dt

    Apply  substitution :

      u=t2-1→dudt=tt2-1→dt=t2-1tdu

       =-8∫221u2+12du

           

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