PYQ Vault

Day 73: CBSE Class 12 Maths

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

  1. Question 1

    Application of Integrals. Asked once: 2025 (same type asked 4 times)

    17
    The area of the shaded region bounded by the curves y2=xy^2 = x, x=4x = 4 and the xx-axis is given by

    Tap an option to check your answer.

  2. Question 2

    Differential Equations. Asked once: 2025 (same type asked 4 times)

    34
    Solve the differential equation (x2+y2) dx+xy dy=0(x^2 + y^2)\, dx + xy\, dy = 0, y(1)=1y(1) = 1.
  3. Question 3

    Integrals. Asked once: 2025 (same type asked 4 times)

    28 (b)
    Evaluate : ∫0π4dxcos⁡3x2sin⁡2x\int_{0}^{\frac{\pi}{4}} \frac{dx}{\cos^3 x \sqrt{2 \sin 2x}}
  4. Question 4

    Integrals. Asked once: 2025 (same type asked 4 times)

    33
    Find : ∫x2+x+1(x+2)(x2+1)  dx\displaystyle\int \dfrac{x^2 + x + 1}{(x + 2)(x^2 + 1)}\;dx.
  5. Question 5

    Integrals. Asked once: 2024 (same type asked 4 times)

    24 (a)
    Find : ∫cos⁡3x  elog⁡sin⁡x dx\displaystyle\int \cos^3 x\; \mathrm{e}^{\log \sin x}\, \mathrm{d}x