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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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MHT CET Subjects
Physics
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Units & Measurement and Dimensions Vector Algebra Motion Laws of Motion Circular Motion Work, Energy and Power Center of Mass and Collision Rotational Motion Gravitation Simple Harmonic Motion Fluid Mechanics Elasticity Waves Heat and Thermodynamics
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Periodic Table and Periodicity Chemical Bonding and Molecular Structure Metallurgy Hydrogen and It's Compounds s-Block Elements p-Block Elements d and f Block Elements Coordination Compounds Environmental Chemistry
Organic Chemistry
IUPAC Nomenclatures General Organic Chemistry Isomerism Hydrocarbons Haloalkanes and Haloarenes Alcohol, Phenols and Ethers Aldehyde and Ketone Carboxylic Acids and Its Derivatives Compounds Containing Nitrogen Polymers Biomolecules Chemistry in Everyday Life Practical Organic Chemistry
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Calculus
Functions Limits, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integration Definite Integration Area Under The Curves Differential Equations
Coordinate Geometry
Straight Lines and Pair of Straight Lines Circle Parabola Ellipse Hyperbola
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