NTA Abhyas JEE Main2020MathematicsArea Under CurvesPractice
The area (in sq. units) bounded by y = ln x from x = e to x = π with the x - axis is
Options
- Aln π
- Bπ ln π
- Ce ln π
- Dπ ln π - π
Correct answer
D. π ln π - π
Step-by-step solution
Required area is = ∫ e π ln x d x = ∫ e π ln x d x = x ln x - x e π = π ln π - π - e ln e - e = π ln π - π