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1
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

$2 \log 2-1$

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

$$ \int\limits_0^1 x\left|x-\frac{1}{2}\right| \mathrm{d} x= $$

A

$\frac{1}{2}$

B

$\frac{1}{12}$

C

$\frac{1}{8}$

D

$\frac{1}{16}$

3
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

$150 \pi$

4
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

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

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