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Integral Calculus
Definite Integrals, Power Rule
jee_main_2026_april_8_shift_2
Grade None

Question:

If ∫_0^1 (2x² + 3) dx = a, and ∫_0^1 (x + 2) dx = b, find a - b.
A. 5/6
B. 7/6
C. 11/6
D. 13/6

Step-by-Step Solution

Key Concept: Evaluate both definite integrals using power rule.
Step 1: a = 2/3 + 3 = 11/3. Step 2: b = 1/2 + 2 = 5/2. Step 3: a - b = 11/3 - 5/2 = 22/6 - 15/6 = 7/6.
Correct Answer: B
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