Integration as the reverse of differentiation

Integration as the reverse of differentiation Quiz

Spec H1–H2 · AQA A-Level Maths: Quiz

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5 questions, one answer each

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  1. 1. Find ∫6x2 dx\int6x^2\,dx.

    • A. 12x+c12x+c
    • B. 6x3+c6x^3+c
    • C. 2x3+c2x^3+c
    • D. 3x3+c3x^3+c

  2. 2. Find ∫x−2 dx\int x^{-2}\,dx.

    • A. −1x+c-\frac1x+c
    • B. 1x+c\frac1x+c
    • C. −2x−3+c-2x^{-3}+c
    • D. x−1+cx^{-1}+c

  3. 3. Find ∫x dx\int\sqrt{x}\,dx.

    • A. 12x−12+c\frac12x^{-\frac12}+c
    • B. 32x32+c\frac32x^{\frac32}+c
    • C. x32+cx^{\frac32}+c
    • D. 23x32+c\frac23x^{\frac32}+c

  4. 4. A curve has dydx=4x−3\frac{dy}{dx}=4x-3 and passes through (1,2)(1,2). Find its equation.

    • A. y=2x2−3x+2y=2x^2-3x+2
    • B. y=2x2−3x+3y=2x^2-3x+3
    • C. y=4x2−3x+1y=4x^2-3x+1
    • D. y=2x2−3x−3y=2x^2-3x-3

  5. 5. Given ∫f(x) dx=x3+2x+c\int f(x)\,dx=x^3+2x+c, find f(x)f(x).

    • A. 3x2+23x^2+2
    • B. x44+x2\frac{x^4}{4}+x^2
    • C. x3+2xx^3+2x
    • D. 6x6x

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