Alerts Wishlist Cart

Find ∫ (6x^5) dx. (2022)

Practice Questions

Q1
Find ∫ (6x^5) dx. (2022)
  1. x^6 + C
  2. x^6/6 + C
  3. x^6 + 6C
  4. x^6/5 + C

Questions & Step-by-Step Solutions

Find ∫ (6x^5) dx. (2022)
  • Step 1: Identify the function to integrate, which is 6x^5.
  • Step 2: Use the power rule for integration. The power rule states that ∫x^n dx = (1/(n+1))x^(n+1) + C, where n is the exponent.
  • Step 3: In our case, n is 5. So, we apply the power rule: ∫(6x^5) dx = 6 * (1/(5+1))x^(5+1) + C.
  • Step 4: Calculate (5+1) which equals 6. Now we have: ∫(6x^5) dx = 6 * (1/6)x^6 + C.
  • Step 5: Simplify the expression: 6 * (1/6) equals 1, so we get x^6 + C.
  • Step 6: Write the final answer: ∫(6x^5) dx = x^6 + C.
  • Integration of Polynomials – The question tests the ability to integrate a polynomial function using the power rule.
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