1
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$ \int_0^{\frac{\pi}{2}} \frac{300 \sin x+100 \cos x}{\sin x+\cos x} d x=\ldots $$

A

$100 \pi$

B

$300 \pi$

C

$200 \pi$

D

$150 \pi$

2
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$ \int_0^1 \tan ^{-1} x d x= $$

A

$\frac{\pi}{4}-\log 2$

B

$\frac{\pi}{4}-\log \sqrt{2}$

C

$\frac{\pi}{4}+\log 2$

D

$\frac{\pi}{4}+\log \sqrt{2}$

3
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

    $\int_{\frac{1}{2}}^2 \frac{1}{x} \operatorname{cosec}^{101}\left(x-\frac{1}{x}\right) \mathrm{d} x=$

A

0

B

1

C

$\frac{1}{4}$

D

$\frac{101}{2}$

4
MHT CET 2025 25th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$ \int_{\log \frac{1}{2}}^{\log 2} \sin \left(\frac{\mathrm{e}^x-1}{\mathrm{e}^x+1}\right) \mathrm{d} x= $$

A
0
B
1
C
$\quad \cos \frac{1}{2}$
D
$\quad 2 \log \frac{1}{2}$

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