5.5 Introduction to integration

5.5 Introduction to integration Quiz

IB Maths: Analysis and Approaches SL: Quiz

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5 questions, one answer each

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  1. 1. Find ∫(9x2+2)dx\int\left(9x^{2}+2\right)\mathrm{d}x.

    • A. 18x+C18x+C
    • B. 3x3+2x+C3x^{3}+2x+C
    • C. 9x3+2x+C9x^{3}+2x+C
    • D. 3x3+C3x^{3}+C

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

    • A. −3x−4+C-3x^{-4}+C
    • B. −12x−2+C-\frac{1}{2}x^{-2}+C
    • C. 12x−2+C\frac{1}{2}x^{-2}+C
    • D. −14x−4+C-\frac{1}{4}x^{-4}+C

  3. 3. dydx=4x−1\frac{\mathrm{d}y}{\mathrm{d}x}=4x-1 and the curve passes through (1, 3)(1,\,3). Find CC in y=2x2−x+Cy=2x^{2}-x+C.

    • A. 33
    • B. 11
    • C. 22
    • D. 44

  4. 4. Evaluate ∫123x2 dx\int_{1}^{2}3x^{2}\,\mathrm{d}x.

    • A. 77
    • B. 88
    • C. 99
    • D. 66

  5. 5. f(x)=4−x2f(x)=4-x^{2} is positive for −2<x<2-2<x<2. Which gives the area enclosed by the curve and the xx-axis?

    • A. ∫04(4−x2) dx\int_{0}^{4}(4-x^{2})\,\mathrm{d}x
    • B. ∫−22(4−x2) dx\int_{-2}^{2}(4-x^{2})\,\mathrm{d}x
    • C. ∫−44(4−x2) dx\int_{-4}^{4}(4-x^{2})\,\mathrm{d}x
    • D. ∫−22(x2−4) dx\int_{-2}^{2}(x^{2}-4)\,\mathrm{d}x

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