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

$$\int \log x \cdot(\log x+2) d x=$$

A
$x(\log x)^2+c$
B
$x \log x+c$
C
$e^x(\log x)^2+c$
D
$(\log x)^2+c$
2
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
$\frac{1}{6} \tan ^{-1}\left(\frac{x+2}{3}\right)+C$
3
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
$$\frac{1}{1+(\log x)^2}+c$$
4
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
$$-\cot x+c$$
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Functions Limits, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integration Definite Integration Area Under The Curves Differential Equations
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Straight Lines and Pair of Straight Lines Circle Parabola Ellipse Hyperbola
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