GATE_AE_2027_MOCK_05_Q39 GATE 2027 Aerospace Engineering All-India Master Mock 05 (High-Yield Comprehensive Grand Finale) NAT · 2 Marks
Engineering Mathematics • Numerical Methods • Numerical Linear Algebra & Integration

Evaluate the integral I = \int_0^1 (4x) dx using the Midpoint rule with 1 single interval (midpoint x = 0.5).

Answer Key:
2

Step-by-Step Verified Solution

### Solution: Midpoint rule: I pprox (b - a) * f((a+b)/2) = (1 - 0) * f(0.5) = 1 * (4 * 0.5) = 2. Correct: 2.
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