Alerts Wishlist Cart

Evaluate the integral ∫ cos(5x) dx.

Practice Questions

Q1
Evaluate the integral ∫ cos(5x) dx.
  1. 1/5 sin(5x) + C
  2. -1/5 sin(5x) + C
  3. 5 sin(5x) + C
  4. sin(5x) + C

Questions & Step-by-Step Solutions

Evaluate the integral ∫ cos(5x) dx.
  • Step 1: Identify the integral you need to evaluate, which is ∫ cos(5x) dx.
  • Step 2: Recognize that the integral of cos(kx) is given by the formula (1/k)sin(kx), where k is a constant.
  • Step 3: In this case, k is 5 because we have cos(5x).
  • Step 4: Apply the formula: Replace k with 5 in (1/k)sin(kx). This gives you (1/5)sin(5x).
  • Step 5: Don't forget to add the constant of integration, C, to your answer.
  • Step 6: Write the final answer: ∫ cos(5x) dx = (1/5)sin(5x) + C.
  • Integration of Trigonometric Functions – Understanding how to integrate functions like cos(kx) using the formula ∫ cos(kx) dx = (1/k)sin(kx) + C.
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