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Integration and Differential Equations Basic Questions for AGNIVEER VAYU

Free, AI-curated practice for the Integration and Differential Equations Basic section of AGNIVEER VAYU. We have 12+ verified questions in this bank. Below: 5 sample questions. Sign up free to unlock unlimited practice + AI explanations + per-topic analytics.

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Sample questions

Q1 · medium · AI-verified
The degree of the differential equation (d²y/dx²)³ + (dy/dx)² + y = 0 is:
  1. 6
  2. 2
  3. 1
  4. 3
Q2 · easy · AI-verified
Evaluate the definite integral: ∫₀² x dx
  1. 3
  2. 1
  3. 4
  4. 2
Q3 · medium · AI-verified
Evaluate: ∫₀^(π/2) sin(x) dx
  1. 2
  2. 1
  3. 0
  4. π/2
Q4 · medium · AI-verified
Evaluate: ∫ x⁴ dx
  1. x⁴/4 + C
  2. 4x³ + C
  3. x⁵/5 + C
  4. x⁵ + C
Q5 · hard · AI-verified
Evaluate: ∫ dx / (x² − 4x + 13)
  1. (1/3) tan⁻¹((x−2)/3) + C
  2. (1/3) sin⁻¹((x−2)/3) + C
  3. (1/9) tan⁻¹((x−2)/3) + C
  4. (1/3) tan⁻¹((x+2)/3) + C
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