Chapter 5.3, Problem 28E

### Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

Chapter
Section

### Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

# Evaluate the integral. ∫ 0 4 ( 4 − t ) t   d t

To determine

To evaluate: The integral function.

Explanation

Given:

The integral function is âˆ«04(4âˆ’t)tâ€‰dt.

Calculation:

The integral function is âˆ«04(4âˆ’t)tâ€‰dt (1)

Integrate Equation (1) with respect tot.

âˆ«04(4âˆ’t)tâ€‰dt=âˆ«04(4tâˆ’tt)â€‰dt=âˆ«04(4t1/2âˆ’t3/2)â€‰dt=(4t3/232âˆ’t5/252)04=(83t3/2âˆ’25t5/2)04 (2)

Apply the upper and lower limits in the equation (2)

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