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

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

Options:

Correct Answer: (x^(n+1))/(n+1) + C

Exam Year: 2023

Solution:

The integral of x^n dx is (x^(n+1))/(n+1) + C.

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

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.

No concepts available.