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

$$\int_\limits0^\pi x \sin x \cos ^4 x d x=$$

A
$$\frac{\pi}{10}$$
B
$$\frac{2 \pi}{5}$$
C
$$\frac{\pi}{5}$$
D
$$\frac{\pi}{8}$$
4
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_\limits0^4 x[x] d x=$$ (where $$[\mathrm{x}]$$ denotes greatest integer function not greater than $$\mathrm{x}]$$

A
17
B
24
C
$$\frac{21}{2}$$
D
$$\frac{33}{2}$$
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