PYQ Vault

Day 548: MHT-CET Maths

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

  1. Question 1

    Indefinite Integration. Asked once: 2 May 2023 S2

    135
    ∫[f(x)g′′(x)−f′′(x)g(x)] dx\int [f(x)g''(x) - f''(x)g(x)]\,dx is equal to

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  2. Question 2

    Indefinite Integration. Asked once: 2 May 2023 S1

    109
    ∫33x⋅3x dx=\displaystyle\int 3^{3^x} \cdot 3^x\,dx =

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  3. Question 3

    Indefinite Integration. Asked once: May 2022 S1

    147
    ∫sin⁡5x2sin⁡x2 dx=\int \frac{\sin\frac{5x}{2}}{\sin\frac{x}{2}}\,dx = (where C is a constant of integration.)

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  4. Question 4

    Indefinite Integration. Asked once: May 2021 S1

    137
    ∫tan⁡4x⋅sec⁡2xx dx\int\frac{\tan^4 x\cdot\sec^2 x}{\sqrt{x}}\,dx

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