MHT CET 2026 15th April Evening Shift | MHT CET Year Wise Previous Years Questions

MHT CET 2026 15th April Evening Shift

MCQ (Single Correct Answer)

-0

The value of $\int \dfrac{\sin^6 x + \cos^6 x}{\sin^2 x \cdot \cos^2 x}\, \text{d}x$ is

$\cot x + \cot^2 x + c$, where c is the constant of integration

$\tan x - \cot x - 3x + c$, where c is the constant of integration

$2\sin^5 x + 2\cos^5 x + c$, where c is the constant of integration

$\sin^3 x + 2\cos^3 x + c$, where c is the constant of integration

MHT CET 2026 15th April Evening Shift

MCQ (Single Correct Answer)

-0

$\int \text{cosec}^{-1}\left(\sqrt{\dfrac{a+x}{x}}\right)\, \text{d}x =$

$a\theta\tan^2\theta - a\tan\theta - a\theta + c$ $\left(\text{where } \theta = \tan^{-1}\left(\sqrt{\dfrac{x}{a}}\right)\right)$ and c is the constant of integration

$a\theta\tan^2\theta - a\tan\theta + a\theta + c$ $\left(\text{where } \theta = \tan^{-1}\left(\sqrt{\dfrac{x}{a}}\right)\right)$ and c is the constant of integration

$a\theta\tan^2\theta + a\tan\theta - a\theta + c$ $\left(\text{where } \theta = \tan^{-1}\left(\sqrt{\dfrac{x}{a}}\right)\right)$ and c is the constant of integration

$a\theta\tan^2\theta + a\tan\theta + a\theta + c$ $\left(\text{where } \theta = \tan^{-1}\left(\sqrt{\dfrac{x}{a}}\right)\right)$ and c is the constant of integration

MHT CET 2026 15th April Evening Shift

MCQ (Single Correct Answer)

-0

$\int\limits_{0}^{\pi} |\sin 2x|\, \text{d}x =$

$0$

$1$

$2$

$-1$

MHT CET 2026 15th April Evening Shift

MCQ (Single Correct Answer)

-0

If $f(x)$ is an even function, then $\int\limits_{-2}^{2} (|x| + f(x)\sin x)\, \text{d}x$ is