Target Mathematics
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  • Add Math 0606
  • FPM 4PM1

Add Math 0606 topics

  • 1. Functions55
  • 2. Simultaneous equations and quadratics34
  • 2. Quadratic functions35
  • 3. Factors and polynomials61
  • 4. Equations, inequalities and graphs127
  • 5. Logarithmic and exponential functions86
  • 6. Straight-line graphs107
  • 7. Coordinate geometry of the circle6
  • 8. Circular measure68
  • 9. Trigonometry180
  • 10. Permutations and combinations55
  • 11. Series99
  • 12. Calculus — Differentiation 185
  • 13. Vectors51
  • 14. Calculus — Differentiation 261
  • 15. Calculus — Integration92
  • 16. Kinematics42
  • Indices and surds39

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Additional Mathematics 0606 / Calculus — Integration / 2.58

2.58: Definite integral of a squared binomial over x2x^{2}x2

0606/22/O/N/20 — Question 6 · 6 marks

· ·
Find the exact value of ∫24(x+1)2x2 dx\displaystyle\int_{2}^{4} \frac{(x + 1)^{2}}{x^{2}}\,\mathrm{d}x∫24​x2(x+1)2​dx.
[6]
← 2.31: Stationary point and area under a semicircle curve2.79: Product rule, normal and integration →
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