# The diagram shows the curve with equation y = (x 2) ln x + 1, x > 0. a.

## Question:

The diagram shows the curve with equation y = (x − 2) ln x + 1, x > 0.

a. Complete the table with the values of y corresponding to x = 2 and x = 2.5.

Given that

b. Use the trapezium rule

i. With values of y at x = 1, 2 and 3 to find an approximate value for I, giving your answer to 4 significant figures.

ii. With values of y at x = 1, 1.5, 2, 2.5 and 3 to find another approximate value for I, giving your answer to 4 significant figures.

c. Use the diagram to explain why an increase in the number of values improves the accuracy of the approximation.

d. Show by integration, that the exact value of

## This problem has been solved!

Do you need an answer to a question different from the above? Ask your question!

## Step by Step Answer:

**Related Book For**

## Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

**ISBN:** 9781292183404

1st Edition

**Authors:** Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

**Question Details**

Chapter #

**11**Section: Exercise 11i

Problem: 4

**View Solution**

Create a free account to access the answer

**Cannot find your solution?**

Post a FREE question now and get an answer within minutes.
* Average response time.