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What is the integral of x^n dx, where n ≠ -1? (2023)

Practice Questions

Q1
What is the integral of x^n dx, where n ≠ -1? (2023)
  1. (x^(n+1))/(n+1) + C
  2. (x^(n-1))/(n-1) + C
  3. nx^(n-1) + C
  4. x^n + C

Questions & Step-by-Step Solutions

What is the integral of x^n dx, where n ≠ -1? (2023)
  • Step 1: Identify the function you want to integrate, which is x^n.
  • Step 2: Recognize that n is a number that is not equal to -1.
  • Step 3: To find the integral, you will increase the exponent n by 1. This means you will change n to (n + 1).
  • Step 4: Next, you will divide by the new exponent (n + 1).
  • Step 5: Combine these steps to write the integral as (x^(n + 1)) / (n + 1).
  • Step 6: Finally, add a constant C to represent any constant value that could be added to the integral.
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