Phrases Indefinite Integration Previous Year Question Paper and Solution with PDF

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Phrases Indefinite Integration PYQ

Qus : 1Phrases PYQ 2023

$\int f(x)\mathrm{d}x=g(x)$ , then

$\int {x}^5f({x}^3)\mathrm{d}x$

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 2Phrases PYQ 2023

$\int x\, \sin x\, sec^3x\, dx=\frac{1}{2}\Bigg{[}f(x){se}c^2x+g(x)\Bigg{(}\frac{\tan x}{x}\Bigg{)}\Bigg{]}+C$ , then which of the following is true?

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 3Phrases PYQ 2019

The integral

$\int \sqrt{1+2 cot x(cosec x+cotx)} dx$ ,

$(0<x<\frac{\pi}{2})$ (where C is a constant of integration) is equal to

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 4Phrases PYQ 2019

, then the values of A₁, A₂, A₃, A₄ are

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 5Phrases PYQ 2022

The value of

$\int \frac{({x}^2-1)}{{x}^3\sqrt[]{2{x}^4-2{x}^2+1}}dx$

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 6Phrases PYQ 2021

$\int {3}^{{3}^{{3}^x}}.{3}^{{3}^x}.{3}^xdx$ is equal to

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Phrases Previous Year PYQPhrases NIMCET 2021 PYQ

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Qus : 7Phrases PYQ 2020

then value of k is

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Phrases Previous Year PYQPhrases NIMCET 2020 PYQ

Solution

Qus : 8Phrases PYQ 2020

Evaluate

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Phrases Previous Year PYQPhrases NIMCET 2020 PYQ

Solution

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Phrases Indefinite Integration PYQ

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