1
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
$$\frac{33}{2}$$
2
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_\limits0^{\pi / 2} \log \left(\frac{4+3 \sin x}{4+3 \cos x}\right) d x=$$

A
0
B
4log3
C
$$\frac{1}{2}$$
D
2log4
3
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_\limits0^\pi \frac{1}{4+3 \cos x} d x=$$

A
1
B
$$\frac{\pi}{\sqrt7}$$
C
0
D
$$\frac{2}{\sqrt7}$$
4
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_\limits1^3\left[\tan ^{-1}\left(\frac{x}{x^2-1}\right)+\tan ^{-1}\left(\frac{x^2-1}{x}\right)\right] d x=$$

A
$$\pi$$
B
$$\frac{\pi}{4}$$
C
$$\frac{\pi}{2}$$
D
$$2 \pi$$
MHT CET Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12