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Area between a curve and the Y-axis between two horizontal lines

This type of question, asked 4 times: 11 May 2023 S1, 13 Apr 2026 S2, 15 Apr 2026 S1, 20 Apr 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    11 May 2023 S1

    129
    The area of the region lying in the first quadrant by y=4x2y = 4x^2, x=0x = 0, y=2y = 2, y=4y = 4 is

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  2. Question 2

    13 Apr 2026 S2

    84
    The area of the region bounded by the curve y=x3y = x^3 and the lines y=8y = 8 and x=0x = 0 is ... square units.

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  3. Question 3

    15 Apr 2026 S1

    84
    If the area bounded by the curve x2=byx^2 = by and the lines y=1,y=4y = 1, y = 4 in the first quadrant is 2828 sq. units, then the value of b is...

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  4. Question 4

    20 Apr 2026 S1

    83
    The area of the region lying in the first quadrant and bounded by the curve y=4x2y = 4x^2, the Y-axis, and the lines y=2,y=4y = 2, y = 4 is...

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