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1
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
$\int_0^{\log 10}\left[\dfrac{e^x \sqrt{e^x - 1}}{e^x + 8}\right]dx = $
A
$\dfrac{3}{2}(4 + \pi)$
B
$\dfrac{3}{2}(4 - \pi)$
C
$\dfrac{3}{4}(4 - \pi)$
D
$\dfrac{3}{4}(4 + \pi)$
2
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The value of the integral $\int_{-\pi/2}^{\pi/2}\left(\dfrac{x^2 \cos x}{1+e^x}\right)dx$ is equal to $\left(\dfrac{\pi^2}{A}\right) - B$. Then $\left(\dfrac{A}{B}\right) = $
A
$-2$
B
$2$
C
$6$
D
$-6$
3
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The value of $\int_0^\pi\left|\sin ^3 x\right| \mathrm{d} x$ is

A

0

B

$\frac{3}{8}$

C

$\frac{4}{3}$

D

$\pi$

4
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$ \int_0^1 \log (x+1) d x= $$

A

$\quad \log 2-1$

B

$\quad \log 2+1$

C

$\quad 2 \log 2+1$

D

$2 \log 2-1$

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