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Mathematics - Flowchart to slove an Integral

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Do you have an integral? Is part of the numerator the derivative of another term? Get the f--- out. Yes Yes U-Substitution 0 Partial Fraction Decomposition Use Pythagorean Identity Yes Can the denominator be factored? Are there more than one trigonometric terms? Separate Terms 0 Yes No ls (1 ± x^2) present in some form? Trigonometric Substitution Yes Long Division 0 es Does the numerator have a larger power than the denominator? Separation of Integrals Can the integral bie divided into two distinct parts that can be either integrated or derived? No Yes Are there two distinct terms being added or subtracted? Yes 0 Integration By Parts Can you use the Power-Reducing or Double Angle formulas? Can you complete the square? Can you multiply something by its conjugate? Good job es 0 0 0 Yes All hail the Wolfram Alpha Overlords You're f-----

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