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1
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$\int e^x(x+1)^2 d x=$
A
$x e^x+c$
B
$e^x x^2+c$
C
$e^x\left(x^2+1\right)+c$
D
$e^x(x+1)+c$
2
AP EAPCET 2024 - 21th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\frac{1}{(3 x+1)(x-2)}=\frac{A}{3 x+1}+\frac{B}{x-2}$ and $\frac{x+1}{(3 x+1)(x-2)}=\frac{C}{3 x+1}+\frac{D}{x-2}$, then

A

$A+3 B=0, A: C=1: 3, B: D=2: 3$

B

$A+3 B=0, A: C=3: 1, B: D=3: 2$

C

$A-3 B=0, A: C=3: 2, B: D=1: 3$

D

$A+3 B=0, A: C=3: 2, B: D=1: 3$

3
AP EAPCET 2024 - 21th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $x \in\left[2 n \pi-\frac{\pi}{4}, 2 n \pi+\frac{3 \pi}{4}\right]$ and $n \in Z$, then $\int \sqrt{1-\sin 2 x} d x=$
A
$-\cos x+\sin x+c$
B
$\cos x+\sin x+c$
C
$-\cos x-\sin x+c$
D
$\cos x-\sin x+c$
4
AP EAPCET 2024 - 21th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$\int e^x\left(\frac{x+2}{x+4}\right)^2 d x=$
A
$-\frac{x e^x}{(x+4)^2}+c$
B
$-\frac{x e^x}{(x+4)}+c$
C
$\frac{x e^x}{(x+4)}+c$
D
$\frac{2 x e^x}{(x+4)}+c$.
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AP EAPCET Subjects
Physics
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Units & Measurement and Dimensions Vector Algebra Motion in a Straight Line Motion in a Plane Circular Motion Laws of Motion Work, Energy and Power Center of Mass and Collision Rotational Motion Elasticity Fluid Mechanics Heat and Thermodynamics Simple Harmonic Motion Waves Gravitation
Optics
Ray Optics Wave Optics
Electromagnetism
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Modern Physics
Atoms and Nuclei Dual Nature of Radiation Semiconductor Devices and Logic Gates Communication Systems
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Some Basic Concepts of Chemistry Atomic Structure States of Matter Thermodynamics Chemical Equilibrium Ionic Equilibrium Liquid Solution Redox Reactions Surface Chemistry Solid State Electrochemistry Chemical Kinetics
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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
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Straight Lines and Pair of Straight Lines Circle Parabola Ellipse Hyperbola
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