1
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $f(x)$ is an even function, then $\int\limits_{-2}^{2} (|x| + f(x)\sin x)\, \text{d}x$ is
A
$2$
B
$4$
C
$6$
D
$8$
2
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The area of the region bounded by the curves $y = |x - 4|$, $x = 3$ and $x = 5$, and the X-axis is
A
$5$ sq. units
B
$3$ sq. units
C
$6$ sq. units
D
$1$ sq. unit
3
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The solution of $\dfrac{\text{d}y}{\text{d}x} = \sin(x + y) + \cos(x + y)$ is
A
$\log\left[1 + \tan\left(\dfrac{x+y}{2}\right)\right] = y + c$, where c is the constant of integration
B
$\log\left[1 - \tan\left(\dfrac{x+y}{2}\right)\right] = y + c$, where c is the constant of integration
C
$\log\left[1 + \tan\left(\dfrac{x+y}{2}\right)\right] = x + c$, where c is the constant of integration
D
$\log\left[1 - \tan\left(\dfrac{x+y}{2}\right)\right] = x + c$, where c is the constant of integration
4
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The order and degree of the differential equation $3 - \left(\dfrac{\text{d}^3 y}{\text{d}x^3}\right)^{\frac{7}{3}} = \left(\dfrac{\text{d}y}{\text{d}x}\right)^5$ are respectively
A
$3, 7$
B
$7, 3$
C
$5, 7$
D
$3, 5$

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