Standard +0.3 This is a straightforward application of integration by parts with ln x, a standard technique taught in P3. The question requires choosing u = ln x and dv = dx, then evaluating the definite integral with simple arithmetic involving logarithms. While it requires careful execution, it's a routine textbook exercise with no problem-solving insight needed, making it slightly easier than average.
Using 1 and ln \(x\) as parts reach \(x\ln x - \int x \cdot \frac{1}{x}dx\)
M1*
Obtain indefinite integral \(x\ln x - x\)
A1
Substitute correct limits correctly
M1(dep*)
Obtain given answer
A1
[4]
Using 1 and ln $x$ as parts reach $x\ln x - \int x \cdot \frac{1}{x}dx$ | M1* |
Obtain indefinite integral $x\ln x - x$ | A1 |
Substitute correct limits correctly | M1(dep*) |
Obtain given answer | A1 | [4]