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

$$\int e^x\left(\frac{1+\sin x}{1+\cos x}\right) d x=$$

A
$$e^x \tan \frac{x}{2}+c$$
B
$$e^x \cot \frac{x}{2}+c$$
C
$$e^x \cos \frac{x}{2}+c$$
D
$$e^x \sin \frac{x}{2}+c$$
2
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The negation of '$$\forall x \in N, x^2+x$$ is even number' is

A
$$\forall x \in N, x^2+x$$ is not an even number.
B
$$\forall x \in N, x^2+x$$ is not an odd number.
C
$$\exists x \in N$$ such that $$x^2+x$$ is an even number.
D
$$\exists x \in N$$ such that $$x^2+x$$ is not an even number.
3
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
4
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
$$\frac{\pi}{8}$$
MHT CET Papers
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12