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Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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14 questions

SA-9709-P2-IN-0012 marksL1 FoundationCalculatorStandard integrals
Find ∫12x+3 dx\displaystyle\int\frac{1}{2x+3}\,dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P2-IN-G012 marksL1 FoundationCalculatorStandard integrals
Find ∫(e4x+3x)dx\displaystyle\int\left(e^{4x}+\frac3x\right)dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P2-IN-Q011 markL1 FoundationCalculatorStandard integrals
∫13x dx=\displaystyle\int\frac{1}{3x}\,dx=
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-I31-0011 markL1 FoundationCalculatorStandard integrals
Find ∫e−3x dx\displaystyle\int e^{-3x}\,dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-I31-Q011 markL1 FoundationCalculatorStandard integrals
∫cos⁡x dx\displaystyle\int\cos x\,dx is
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-IN-0012 marksL1 FoundationCalculatorStandard integrals
Find ∫cos⁡3x dx\displaystyle\int\cos3x\,dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-IN-G012 marksL1 FoundationCalculatorStandard integrals
Find ∫(e2x+4x)dx\displaystyle\int\left(e^{2x}+\frac4x\right)dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-IN-Q011 markL1 FoundationCalculatorStandard integrals
∫1x dx\displaystyle\int\frac1x\,dx is
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P2-IN-0023 marksL2 StandardCalculatorStandard integrals
Find ∫(cos⁡3x+sec⁡22x)dx\displaystyle\int\left(\cos3x+\sec^22x\right)dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-I31-0022 marksL2 StandardCalculatorStandard integrals
Find ∫42x−1 dx\displaystyle\int\frac{4}{2x-1}\,dx, for x>12x>\tfrac12.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-I31-0032 marksL2 StandardCalculatorStandard integrals
Find ∫sin⁡(4x+1) dx\displaystyle\int\sin(4x+1)\,dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-I31-0042 marksL2 StandardCalculatorReversing
Find ∫(3sec⁡23x−2sin⁡x)dx\displaystyle\int\left(3\sec^23x-2\sin x\right)dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P2-IN-0144 marksL3 ExamCalculatorRewriting
Find ∫(ex+e−x)2dx\displaystyle\int\left(e^x+e^{-x}\right)^2dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-I31-0053 marksL3 ExamCalculatorRewriting
Find ∫e2x+1ex dx\displaystyle\int\frac{e^{2x}+1}{e^x}\,dx.

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Salam Academy Original Practice · Proposed mark scheme