Question: Find the error in the following proof that 0 = 1, In (1/t) dt, set u = 1/t and dv = dt. Then du

Find the error in the following "proof" that 0 = 1, In ∫ (1/t) dt, set u = 1/t and dv = dt. Then du = -t-2 dt and uv = 1. Integration by parts gives
∫ (1/t)dt = 1 - ∫ (-1/t)dt or 0 = 1

Step by Step Solution

★★★★★

3.47 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The proof fails to consider the constants when integra... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

955-M-C-D-E (2325).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Use a graphing calculator to solve each equation. Give irrational solutions correct to the nearest hundredth. Find the error in the following proof that 2

Find the error in the "proof" of the following "theorem." "Theorem": Let R be a relation on a set A that is symmetric and transitive. Then R is reflexive. "Proof ": Let a A. Take an element b A...

Find the error in the statistics language in each of the following statements about z, t, or F distributions or their related tests. Explain why it is incorrect and provide the correct word. a. The...

MAT B44 Assignment 2 Jordan Bell Department of Mathematics, University of Toronto Due in class, Tuesday October 25. This is the same day as the midterm which will be held in class. R 1 In this...

Submitted to Management Science manuscript MS-0001-1922.65 Authors are encouraged to submit new papers to INFORMS journals by means of a style file template, which includes the journal title....

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

# 5: Fourier Interpolant and DFT 1 The Discrete Fourier Transform (DFT) of a periodic array fj , for j = 0, 1, . . . , N 1 (corresponding to data at equally spaced points, starting at the left end...

function LAB04ex1 %NOTE: you CAN run this type of function m file as a script because it requires no inputs. Click the Green arrow above the "Run" tab t0 = 0; tf = 40; %initial and final time y0 =...

MATLAB sessions: Laboratory 4 MAT 275 Laboratory 4 MATLAB solvers for First-Order IVP In this laboratory session we will learn how to 1. Use MATLAB solvers for solving scalar IVP 2. Use MATLAB...

Determine a direct form realization for the following linear phasefilters. (a) h(n) = (1.2, 3, 4.3, 2. 1) (b) h(n) = (1.2,3, 3, 2. 1}

factorize the integer 2896753 by using the Quadratic Sieve method

Evaluate security models ( Bell - La Padula, Biba, Clark Wilson, Brewer Nash, multi - level security ) . Choose two of the models and compare and contrast their advantages and disadvantages as...

What are five qualities or characteristics successors should possess?

Write a program that calculates and displays a persons body mass index (BMI). The BMI is often used to determine whether a person with a sedentary lifestyle is overweight or underweight for his or...

Write an if-else statement that assigns 0 to x when y is equal to 10. Otherwise, it should assign 1 to x.

This type of expression has a value of either true or false. a. Binary expression b. Decision expression c. Unconditional expression d. Boolean expression

As a financial consultant, you have contracted with Wheel Industries to evaluate their procedures involving the evaluation of long term investment opportunities. You have agreed to provide a detailed...

A 17-year annuity pays $1,700 per month, and payments are made at the end of each month. The interest rate is 13 percent compounded monthly for the first five years and 11 percent compounded monthly...

Suppose the Japanese yen exchange rate is 116=$1 and the British pound exchange rate is 1=$1.27. a. What is the cross-rate in terms of yen per pound? Note: Do not round intermediate calculations and...