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  • Set · 1 question
    Let f(t)=ln⁡ ⁣(t+1+t2)f(t)=\ln\!\left(t+\sqrt{1+t^2}\right)f(t)=ln(t+1+t2​) and g(t)=tan⁡(f(t))g(t)=\tan(f(t))g(t)=tan(f(t)).
    • Q12001
      NDA Maths strategyConcept: Odd/even symmetry over a symmetric interval

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      [Q94 · Sep · 2024]
  • Set · 2 questions
    Let f:(−1,1)→Rf:(-1,1)\to\mathbb{R}f:(−1,1)→R be a differentiable function with f(0)=−1f(0)=-1f(0)=−1 and f′(0)=1f'(0)=1f′(0)=1. Let h(x)=f(2f(x)+2)h(x)=f(2f(x)+2)h(x)=f(2f(x)+2) and g(x)=(h(x))2g(x)=(h(x))^2g(x)=(h(x))2.
    • Q12002
      NDA Maths strategyConcept: The chain rule (composite functions)

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      [Q95 · Sep · 2024]
    • Q12003
      NDA Maths strategyConcept: The chain rule (composite functions)

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      [Q96 · Sep · 2024]
  • Set · 2 questions
    Let I=∫0π/2f(x)g(x) dxI=\displaystyle\int_0^{\pi/2}f(x)g(x)\,dxI=∫0π/2​f(x)g(x)dx, where f(x)=sin⁡xf(x)=\sin xf(x)=sinx and g(x)=sin⁡x+cos⁡x+1g(x)=\sin x+\cos x+1g(x)=sinx+cosx+1.
    • Q12004
      NDA Maths strategyConcept: King's property — the reflection trick

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      [Q97 · Sep · 2024]
    • Q12005
      NDA Maths strategyConcept: King's property — the reflection trick

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      [Q98 · Sep · 2024]
  • Set · 2 questions
    Let 2∫x2−1x2+1 dx=U(x)V(x)−3ln⁡{U(x)+V(x)}+c2\displaystyle\int\dfrac{x^2-1}{\sqrt{x^2+1}}\,dx = U(x)V(x)-3\ln\{U(x)+V(x)\}+c2∫x2+1​x2−1​dx=U(x)V(x)−3ln{U(x)+V(x)}+c.
    • Q12006
      NDA Maths strategyConcept: Cyclic and Paired Integrals of e-to-the-x Times Trig

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      [Q99 · Sep · 2024]
    • Q12007
      NDA Maths strategyConcept: Cyclic and Paired Integrals of e-to-the-x Times Trig

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      [Q100 · Sep · 2024]
  • Q12008
    NDA Maths strategyConcept: Identifying Which Regression Line is Which

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    [Q101 · Sep · 2024]
  • Q12009
    NDA Maths strategyConcept: Special-Case Means — Consecutive Integers, Squares, AP, Binomial

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    [Q102 · Sep · 2024]
  • Q12010
    NDA Maths strategyConcept: Choosing numbers with a property

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    [Q103 · Sep · 2024]
  • Q12011
    Lever: Inclusion-Exclusion (sets + probability)Concept: Exhaustive events (and probabilities that sum to 1)

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    [Q104 · Sep · 2024]
  • Q12012
    NDA Maths strategyConcept: Probability with dice

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    [Q105 · Sep · 2024]
  • Q12013
    NDA Maths strategyConcept: Selection probability with combinations

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    [Q106 · Sep · 2024]
  • Q12014
    NDA Maths strategyConcept: Independence and the multiplication rule

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    [Q107 · Sep · 2024]
  • Q12015
    NDA Maths strategyConcept: Probability with arrangements

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    [Q108 · Sep · 2024]
  • Q12016
    NDA Maths strategyConcept: Choosing numbers with a property

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    [Q109 · Sep · 2024]
  • Q12017
    NDA Maths strategyConcept: Mean Deviation

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    [Q110 · Sep · 2024]
  • Q12018
    NDA Maths strategyConcept: Computational Identity & Minimum-SSE Property

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    [Q111 · Sep · 2024]
  • Q12019
    NDA Maths strategyConcept: Replacement and Wrong-Value Correction of the Mean

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    [Q112 · Sep · 2024]
  • Q12020
    NDA Maths strategyConcept: Probability with coins

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    [Q113 · Sep · 2024]
  • Q12021
    NDA Maths strategyConcept: Total probability (over a partition)

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    [Q114 · Sep · 2024]
  • Q12022
    NDA Maths strategyConcept: Finding an unknown probability using independence

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    [Q115 · Sep · 2024]
  • Q12023
    Lever: Inclusion-Exclusion (sets + probability)Concept: Probability with dice

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    [Q116 · Sep · 2024]
  • Q12024
    NDA Maths strategyConcept: Cumulative Probabilities: Summing the Tail

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    [Q117 · Sep · 2024]
  • Q12025
    NDA Maths strategyConcept: Multiplication rule & restricted sample space

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    [Q118 · Sep · 2024]
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