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Sketch 20x--x^2-2x^3

Find roots, stationary points, classify, sketch.

Answered by Tom F. • Maths tutor

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Using the substitution u = 2 + √(2x + 1), or other suitable substitutions, find the exact value of 4 0 1 ∫ 2 (2 1) +√ +x dx giving your answer in the form A + 2ln B, where A is an integer and B is a positive constant

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