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What is the integral of x^n where n ≠ -1? (2021)
Practice Questions
Q1
What is the integral of x^n where n ≠ -1? (2021)
(1/n)x^(n+1) + C
(1/(n+1))x^n + C
(1/(n+1))x^(n+1) + C
nx^(n-1) + C
Questions & Step-by-Step Solutions
What is the integral of x^n where n ≠ -1? (2021)
Steps
Concepts
Step 1: Identify the function you want to integrate, which is x^n.
Step 2: Recognize that n is a constant and it is not equal to -1.
Step 3: Use the power rule for integration, which states that the integral of x^n is (1/(n+1))x^(n+1).
Step 4: Add the constant of integration, C, to the result to account for all possible antiderivatives.
Step 5: Write the final answer as (1/(n+1))x^(n+1) + C.
No concepts available.
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