Question:
\(\int x^2 \, dx \)
\(\int x^2 \, dx \)
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For polynomials, the general rule is \( \int x^n \, dx = \frac{x^{n+1}}{n+1} + k \).
Updated On: Sep 13, 2025
- \( 3 \)
- \( \frac{1}{3} \)
- \( 1 \)
- \( \frac{1}{9} \)
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The Correct Option is C
Solution and Explanation
We are given:
\[
I = \int x^2 \, dx
\]
The integral of \( x^n \) is \( \frac{x^{n+1}}{n+1} \), so:
\[
I = \frac{x^3}{3} + k
\]
Thus, the correct answer is \( 1 \).
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