Calculate Integrals by Substitution - Calculator
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engineer_know on Instagram: "Solving this integral step-by-step ⬇️ ∫ (1 + 2x²) / [x²(1 + x²)] dx Decompose / simplify: (1 + 2x²) / (x²(1 + x²)) = 1/x² + 1/(1 + x²) Integrate term-by-term: ∫1/x² dx = ∫x⁻² dx = -1/x ∫1/(1 + x²) dx = arctan(x) Combine results: ∫(1 + 2x²) / [x²(1 + x²)] dx = arctan(x) - 1/x + C Save this reel if you found it helpful! ✍️ #Calculus #Integral #MathReel #StudyWithMe #ExamPrep #jeemains"
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