CUET UG · Mathematics / Applied Mathematics (Domain)

Applications of the Integrals

Area under simple curves, between two curves, and bounded regions.

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  • Q1 · Applications of the Integrals · EASY

    Find the area bounded by the curve y = x^2, the x-axis, and the lines x = 1 and x = 3.

  • Q2 · Applications of the Integrals · MEDIUM

    Find the area of the region bounded by the curve y = x^2 and the line y = 4.

  • Q3 · Applications of the Integrals · MEDIUM

    Find the area of the region bounded by the parabola y^2 = 4x and the line y = 2x.

  • Q4 · Applications of the Integrals · HARD

    Find the area of the region enclosed between the curves y = sin(x) and y = cos(x) from x = 0 to x = π/2.

  • Q5 · Applications of the Integrals · HARD

    The area bounded by the curve y² = 8x and the line x = 2 is:

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