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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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12 questions

SA-IAL-P1-IN1-0011 markL1 FoundationNon-calculatorPower rule
Find ∫8x3 dx\displaystyle\int8x^3\,dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-IN1-0022 marksL1 FoundationNon-calculatorPower rule
Find ∫x−12 dx\displaystyle\int x^{-\frac12}\,dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-IN1-0032 marksL1 FoundationNon-calculatorPower rule
Find ∫(4−3x2) dx\displaystyle\int(4-3x^2)\,dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-IN-G012 marksL1 FoundationCalculatorPower rule
Find ∫(6x2+4x) dx\displaystyle\int(6x^2+4x)\,dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-IN-Q011 markL1 FoundationCalculatorPower rule
Why do we add + c+\,c to an indefinite integral?
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-IN-Q021 markL1 FoundationCalculatorPower rule
∫x−2 dx=\displaystyle\int x^{-2}\,dx=
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-IN-0013 marksL2 StandardCalculatorRewrite first
Find ∫(3x−4x3)dx\displaystyle\int\left(3\sqrt x-\frac4{x^3}\right)dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-IN-0023 marksL2 StandardCalculatorRewrite first
Find ∫(x+3)(x−1) dx\displaystyle\int(x+3)(x-1)\,dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-IN-0082 marksL2 StandardCalculatorPower rule
Find ∫5x23 dx\displaystyle\int5x^{\frac23}\,dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-IN1-0042 marksL2 StandardNon-calculatorRewrite first
Find ∫6x4 dx\displaystyle\int\frac6{x^4}\,dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-IN1-0053 marksL2 StandardNon-calculatorRewrite first
Find ∫(2x+1)2 dx\displaystyle\int(2x+1)^2\,dx.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-IN-0034 marksL3 ExamCalculatorRewrite first
Find ∫2x3−5x2 dx\displaystyle\int\frac{2x^3-5}{x^2}\,dx.

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Salam Academy Original Practice · Proposed mark scheme