Definite Integration
Unknown Limits
Premium Question
Grade 12
Question:
If $\int_0^a (3x^2 - 2x) \, dx = 4$, the positive value of $a$ equals _____.
Step-by-Step Solution
Key Concept: Evaluate the integral as a function of $a$ using the power rule, set the resulting expression equal to 4, and solve the cubic equation in $a$ for its positive root.
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Correct Answer: 2