PYQ Vault

Day 265: CBSE Class 12 Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Integrals. Asked once: 2023 (same type asked 4 times)

    28 (b)
    Find : ∫x4(x−1)(x2+1) dx\displaystyle\int \dfrac{x^4}{(x - 1)(x^2 + 1)}\,dx

  2. Question 2

    Differential Equations. Asked once: 2024 (same type asked 5 times)

    14
    The order of the following differential equation d3ydx3+x(dydx)5=4log⁡(d4ydx4)\dfrac{\mathrm{d}^3\mathrm{y}}{\mathrm{d}x^3} + x\left(\dfrac{\mathrm{d}\mathrm{y}}{\mathrm{d}x}\right)^5 = 4\log\left(\dfrac{\mathrm{d}^4\mathrm{y}}{\mathrm{d}x^4}\right) is :

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  3. Question 3

    Integrals. Asked once: 2022 (same type asked 5 times)

    8
    Evaluate : ∫−12∣x3−x∣ dx\int_{-1}^{2} |x^3 - x| \, dx

  4. Question 4

    Integrals. Asked once: 2022 (same type asked 5 times)

    3 (b)
    Find : ∫log⁡x−3(log⁡x)4 dx\int \frac{\log x - 3}{(\log x)^4}\,dx.

  5. Question 5

    Integrals. Asked once: 2023 (same type asked 5 times)

    7
    ∫2cos⁡2x−11+2sin⁡x dx\int \frac{2 \cos 2x - 1}{1 + 2 \sin x} \, dx is equal to :

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