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1
MHT CET 2020 19th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \frac{d x}{x^2+4 x+13}=$$

A
$\frac{1}{3} \tan ^{-1}\left(\frac{x+2}{3}\right)+C$
B
$\frac{1}{6} \log \left(\frac{x-1}{x+5}\right)+C$
C
$3 \tan ^{-1}\left(\frac{x+2}{3}\right)+C$
D
$\frac{1}{6} \tan ^{-1}\left(\frac{x+2}{3}\right)+C$
2
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int\left[-\frac{\log x-1}{1+(\log x)^2}\right]^2 d x=$$

A
$$\frac{x}{1+(\log x)^2}+c$$
B
$$\frac{x}{(1+\log x)}+c$$
C
$$\frac{x^2}{1+(\log x)^2}+c$$
D
$$\frac{1}{1+(\log x)^2}+c$$
3
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
$$-\cot x+c$$
4
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
$$x-\log \left(1-2 e^{-x}\right)+c$$
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Straight Lines and Pair of Straight Lines Circle Parabola Ellipse Hyperbola
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