PYQ Vault

Day 267: CBSE Class 12 Maths

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

  1. Question 1

    Integrals. Asked once: 2022 (same type asked 4 times)

    2 (b)
    Evaluate : ∫012log⁡3exe2x+1 dx\int_{0}^{\frac{1}{2} \log 3} \frac{e^x}{e^{2x} + 1} \, dx

  2. Question 2

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

    26
    Find : ∫x2+x+1(x+1)2(x+2) dx\displaystyle\int \dfrac{x^2 + x + 1}{(x+1)^2 (x+2)}\, dx

  3. Question 3

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

    6
    Degree of the differential equation sin⁡x+cos⁡(dydx)=y2\sin x + \cos\left(\frac{dy}{dx}\right) = y^2 is

    Tap an option to check your answer.

  4. Question 4

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

    6
    Evaluate : ∫01x2ex dx\displaystyle\int_0^1 x^2 e^x \, dx

  5. Question 5

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

    31 (b)
    Find : ∫1cos⁡(x−a) cos⁡(x−b) dx\int \frac{1}{\cos(x - a) \, \cos(x - b)} \, dx