Alerts Wishlist Cart

What is the area under the curve y = 1/x from x = 1 to x = 4?

Practice Questions

Q1
What is the area under the curve y = 1/x from x = 1 to x = 4?
  1. ln(4)
  2. ln(3)
  3. ln(2)
  4. ln(1)

Questions & Step-by-Step Solutions

What is the area under the curve y = 1/x from x = 1 to x = 4?
  • Step 1: Identify the function we are working with, which is y = 1/x.
  • Step 2: Determine the limits of integration, which are from x = 1 to x = 4.
  • Step 3: Set up the integral to find the area under the curve: ∫(from 1 to 4) (1/x) dx.
  • Step 4: Find the antiderivative of 1/x, which is ln(x).
  • Step 5: Evaluate the antiderivative at the upper limit (x = 4) and the lower limit (x = 1): ln(4) - ln(1).
  • Step 6: Simplify the result. Since ln(1) = 0, the area is ln(4).
No concepts available.
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely