Math Problem Statement
y = ln(x-1)와 y축 및 y = -1, y = 2로 둘러싸인 부분의 넓이는?
Solution
The problem is asking to calculate the area enclosed by the curve , the -axis, and the horizontal lines and .
Solution Outline:
- Understand the problem:
- The curve is , so ( x = e^y +
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Logarithmic Functions
Area Calculation
Integration
Formulas
y = ln(x-1)
Area between curves: A = ∫ from a to b of (f(x) - g(x)) dx
Theorems
Fundamental Theorem of Calculus
Suitable Grade Level
Grades 11-12
Related Recommendation
Calculate the Area of the Region Defined by y = ln(x) / x^(3/2)
Find the Area Bounded by y = ln(x), x-axis, and x = 1/e to x = 1
Calculating Area Between Curves: ln(x) and y = 1 Using Integration
Find the Area of a Region Bounded by a Logarithmic Curve y = 4ln(3 - x)
Find Area Between ln(x), 1 - x, and y = 4