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CUET Mathematics 2026 21st May Shift 2 PYQs

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CUET Mathematics 2026 21st May Shift 2

Calculus

>

Hard

common

$\dfrac{1}{4}\log_e|x^4 + a^2| + \dfrac{1}{2}\tan^{-1}\dfrac{x^2}{a} + C$

$\dfrac{1}{2}\log_e|x^2 + a| + \dfrac{1}{4}\tan^{-1}\dfrac{x^4}{a^2} + C$

$\dfrac{1}{4}\log_e|x^4 + a^2| + \dfrac{a}{2}\tan^{-1}\dfrac{x^2}{a} + C$

$\dfrac{1}{2}\log_e|x^2 + a| + \dfrac{a}{4}\tan^{-1}\dfrac{x^4}{a^2} + C$

✅ Correct Option: 1

Related questions:

21st May Shift 2

$\displaystyle\int e^x(\sec x + \log_e(\sec x + \tan x))dx$ is equal to: (where C is an arbitrary constant)

23 May Shift 3

$\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{dx}{1 + \sqrt{\tan x}}$ is equal to :

22nd May Shift 2

Match List-I with List-II

List-I	List-II
(A) $\int_{-1}^{1} \lvert x \rvert dx =$	(I) 3
(B) $\int_{-\pi}^{\pi} \cos x \, dx =$	(II) 1
(C) $\int_{-1}^{1} (\lvert x \rvert-1) dx =$	(III) 0
(D) $\int_{-1}^{1} (\lvert x \rvert+1) dx =$	(IV) -1

Choose the correct answer from the options given below:

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