Indefinite integration

Indefinite integration Quiz

Spec 5.1–2 · Edexcel International A Level Maths: Quiz

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5 questions, one answer each

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  1. 1. Find ∫(8x3−3) dx\int(8x^3-3)\,\mathrm{d}x.

    • A. 2x4−3x+c2x^4-3x+c
    • B. 24x2+c24x^2+c
    • C. 2x4−3+c2x^4-3+c
    • D. 8x4−3x+c8x^4-3x+c

  2. 2. Find ∫x−3 dx\int x^{-3}\,\mathrm{d}x.

    • A. −3x−4+c-3x^{-4}+c
    • B. −12x−2+c-\frac12x^{-2}+c
    • C. 12x−2+c\frac12x^{-2}+c
    • D. −12x−4+c-\frac12x^{-4}+c

  3. 3. Find ∫6x dx\int6\sqrt{x}\,\mathrm{d}x.

    • A. 3x−12+c3x^{-\frac12}+c
    • B. 9x32+c9x^{\frac32}+c
    • C. 4x32+c4x^{\frac32}+c
    • D. 6x32+c6x^{\frac32}+c

  4. 4. Find ∫x(x+3) dx\int x(x+3)\,\mathrm{d}x.

    • A. 2x+3+c2x+3+c
    • B. x3+3x2+cx^3+3x^2+c
    • C. x22(x+3)+c\frac{x^2}{2}(x+3)+c
    • D. x33+3x22+c\frac{x^3}{3}+\frac{3x^2}{2}+c

  5. 5. Find ∫3x4 dx\int\frac{3}{x^4}\,\mathrm{d}x.

    • A. −12x−5+c-12x^{-5}+c
    • B. −x−3+c-x^{-3}+c
    • C. x−3+cx^{-3}+c
    • D. −13x−3+c-\frac13x^{-3}+c

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