1
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \frac{d x}{\cos 2 x-\cos ^2 x}=$$

A
$$-\tan x+c$$
B
$$\cot x+c$$
C
$$\tan x+c$$
D
$$-\cot x+c$$
2
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \frac{1+2 e^{-x}}{1-2 e^{-x}} d x=$$

A
$$x+\log \left(1-2 e^{-x}\right)+c$$
B
$$x+2 \log \left(1-2 e^{-x}\right)+c$$
C
$$\log \left(1-2 e^{-x}\right)+c$$
D
$$x-\log \left(1-2 e^{-x}\right)+c$$
3
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$\int \frac{\sin \theta}{\sin 3 \theta} d \theta=\frac{1}{2 k} \log \left|\frac{k+\tan \theta}{k-\tan \theta}\right|+c$$, then $$k=$$

A
$$\sqrt{7}$$
B
$$\sqrt{5}$$
C
$$\sqrt{2}$$
D
$$\sqrt{3}$$
4
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$\int \sqrt{x-\frac{1}{x}}\left(\frac{x^2+1}{x^2}\right) d x=\frac{2}{3}\left(x-\frac{1}{x}\right)^k+c$$, then value of $$k$$ is

A
$$\frac{2}{3}$$
B
$$\frac{3}{2}$$
C
$$\frac{5}{2}$$
D
$$\frac{2}{5}$$
MHT CET Subjects
EXAM MAP