1
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_\limits{\frac{\pi}{4}}^{\frac{3 \pi}{4}} \frac{\mathrm{d} x}{1+\cos x}$$ is equal to

A
$$-2 \sqrt{2}$$
B
$$2$$
C
$$-2-2 \sqrt{2}$$
D
$$-2$$
2
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

The value of the integral $$\int_\limits0^1 \sqrt{\frac{1-x}{1+x}} \mathrm{~d} x$$ is

A
$$\left(\frac{\pi}{2}\right)+1$$
B
$$\left(\frac{\pi}{2}\right)-1$$
C
1
D
$$-$$1
3
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_\limits0^2[x] \mathrm{d} x+\int_\limits0^2|x-1| \mathrm{d} x=$$

(where $$[x]$$ denotes the greatest integer function.)

A
4
B
3
C
1
D
2
4
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_\limits2^5 2[\mathrm{x}] \mathrm{dx}=\{\text { where }[\mathrm{x}] \text { denotes the greatest integer function } \leq \mathrm{x}\}$$

A
18
B
16
C
12
D
24
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