No Trig Substitution! A Much Faster Way to Integrate (2x + 3x^3)/√(2 + x^2) dx 🔥| Smooth Integrals
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YouTubesmooth integrals
No Trig Substitution! A Much Faster Way to Integrate (2x + 3x^3)/√(2 + x^2) dx 🔥| Smooth Integrals
How do you evaluate the integral of (2x + 3x^3) / sqrt(2 + x^2) dx? While many calculus textbooks suggest using a trigonometric substitution like x = sqrt(2)tan(theta), this video shows you a vastly faster algebraic method. By splitting the numerator, we break the problem into a direct power rule candidate and a simple algebraic u-substitution ...
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