Explanation ∫ d x x 5 4 − 4 x 3 4 ∫ 1 x 5 4 − 4 x 3 4 d x = − ln | 1 2 x 1 4 + 1 | + ln | 1 2 x 1 4 − 1 | + C ∫ 1 x 5 4 − 4 x 3 4 d x Apply u-substitution : u = x 1 4 = ∫ 4 u 2 − 4 d u Take the constant out : ∫ a ⋅ f ( x ) d x = a ⋅ ∫ f ( x ) d x = 4 ⋅ ∫ 1 u 2 − 4 d u Apply Integral Substitution : u = 2 v = 4 ⋅ ∫ 1 2 ( v 2 − 1 ) d v Take the constant out : ∫ a ⋅ f ( x ) d x = a ⋅ ∫ f ( x ) d x = 4 ⋅ 1 2 ⋅ ∫ 1 v 2 − 1 d v v 2 − 1 = − ( − v 2 + 1 ) = 4 ⋅ 1 2 ⋅ ∫ 1 − ( − v 2 + 1 ) d v Take the constant out : ∫ a ⋅ f ( x ) d x = a ⋅ ∫ f ( x ) d x = 4 ⋅ 1 2 ( − ∫ 1 − v 2 + 1 d v ) Use the common integral : ∫ 1 − v 2 + 1 d v = ln | v + 1 | 2 − ln | v − 1 | 2 = 4

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 8.5, Problem 53E

To determine

$\int \frac{d x}{x^{\frac{5}{4}} - 4 x^{\frac{3}{4}}}$

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Chapter 8.5, Problem 52E

Chapter 8.5, Problem 54E

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8:39 *** TEMU 5G 60% A ferris wheel is 28 meters in diameter and boarded from a platform that is 2 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 4 minutes. The function h = f(t) gives your height in meters above the ground t minutes after the wheel begins to turn. What is the amplitude? 14 meters What is the equation of the Midline? y = 16 What is the period? 4 meters minutes The equation that models the height of the ferris wheel after t minutes is: f(t): = ƒ (3) = ·−14(0) + 16 syntax error: you gave an equation, not an expression. syntax error. Check your variables - you might be using an incorrect one. How high are you off of the ground after 3 minutes? Round your answe the nearest meter. ||| <

can you solve this question step by step please

S cosx dx sin -3/ (x) X

Chapter 8 Solutions

CALCULUS (CLOTH)

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∫ d x x 5 4 − 4 x 3 4

Solution Summary: The author explains how to determine a u-substitution by taking the constant out and using the common integral.

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Chapter 8 Solutions

$\int \frac{d x}{x^{\frac{5}{4}} - 4 x^{\frac{3}{4}}}$