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

$$\int \sin ^{-1} x d x=$$

A
$x \sin ^{-1} x-\sqrt{1+x^2}+C$
B
$x \sin ^{-1} x-\sqrt{1-x^2}+C$
C
$x \sin ^{-1} x+\sqrt{1-x^2}+C$
D
$x \sin ^{-1} x+\sqrt{1+x^2}+C$
2
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
$(\log x)^2+c$
3
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
$\frac{1}{6} \tan ^{-1}\left(\frac{x+2}{3}\right)+C$
4
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
$$\frac{1}{1+(\log x)^2}+c$$
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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
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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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