The value of is
Answer and explanation
Correct answer: B.
- Step 1: Recall that the derivative of with respect to is for all real .
- Step 2: By the Fundamental Theorem of Calculus, the general antiderivative includes an arbitrary constant of integration .
- Step 3: Therefore, the indefinite integral evaluates to .
Answer
.
Why not the others: The other options (, , ) result from applying the power rule incorrectly, forgetting to differentiate lower-order terms, or arithmetic substitution errors.
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