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Contents in Handbook of Mathematics Arihant Pdf
In this math pdf book, There are a total of 39 chapters. These names are the following:
- Sets and Relations
- Functions and Binary Operations
- Complex Numbers
- Theory of Equations and Inequations
- Sequences and Series
- Permutations and Combinations
- Binomial Theorem and Principle of Mathematical Induction
- Matrices
- Determinants
- Probability
- Trigonometric Functions, Identities and Equations
- Solution of Triangles
- Heights and Distances
- Inverse Trigonometric Functions
- Rectangular Axis
- Straight Line
- Circles
- Parabola
- Ellipse
- Hyperbola
- Limits, Continuity & Differentiability
- Derivatives
- Application of Derivatives
- Indefinite Integrals
- Definite Integrals
- Applications of Integrals
- Differential Equations
- Vectors
- Three Dimensional Geometry
- Statistics
- Mathematical Reasoning
- Linear Programming Problem
- Elementary Arithmetic-1
- Elementary Arithmetic-2
- Elementary Arithmetic-3
- Elementary Algebra
- Logarithms
- Geometry
- Mensuration
Important Questions of Calculus and Integration
What is the derivative of the natural logarithm of a constant, ln(k), where k is a positive constant?
a) 0
b) 1/k
c) -1/k
d) k
Answer: a) 0
What is the integral of the function f(x) = sin(2x) with respect to x?
a) -cos(2x) + C
b) 2sin(x) + C
c) -sin(x) + C
d) cos(x) + C
Answer: a) -cos(2x) + C
What is the derivative of the exponential function, e^x?
a) 1
b) x
c) e^x
d) 0
Answer: c) e^x
What is the integral of the function g(x) = 3e^(2x) with respect to x?
a) 3e^(2x) + C
b) (3/2)e^(2x) + C
c) 6e^(x) + C
d) e^(3x) + C
Answer: b) (3/2)e^(2x) + C
What is the derivative of the natural logarithm of x, ln(x)?
a) 1/x
b) x
c) 0
d) -1/x
Answer: a) 1/x
What is the integral of the function h(x) = 5x^4 with respect to x?
a) (5/4)x^5 + C
b) 20x^3 + C
c) (1/5)x^5 + C
d) (5/3)x^3 + C
Answer: a) (5/4)x^5 + C
What is the derivative of the square root of x, √x?
a) (1/2√x)
b) 2√x
c) 1/(2x)
d) (1/2)x^(1/2)
Answer: a) (1/2√x)
What is the integral of the function f(x) = cos(3x) with respect to x?
a) (1/3)sin(3x) + C
b) -sin(3x) + C
c) 3cos(x) + C
d) (1/3)cos(3x) + C
Answer: d) (1/3)cos(3x) + C
Which rule is used to find the derivative of a constant raised to a power, k^n?
a) Chain rule
b) Power rule
c) Exponent rule
d) Constant rule
Answer: d) Constant rule
Important Questions of Maths for JEE
What is the derivative of the constant e (Euler’s number)?
a) 1
b) e
c) 0
d) -e
Answer: c) 0
What is the integral of the function g(x) = 4cos(x) with respect to x?
a) 4sin(x) + C
b) 4cos(x) + C
c) -4sin(x) + C
d) -4cos(x) + C
Answer: a) 4sin(x) + C
What is the derivative of the function f(x) = ln(4x)?
a) (1/x)
b) 4ln(x)
c) (1/4x)
d) ln(4)
Answer: c) (1/4x)
What is the integral of the function h(x) = 2/(x^2) with respect to x?
a) -2x + C
b) -2/x + C
c) 2x^(-1) + C
d) ln(2x) + C
Answer: b) -2/x + C
What is the derivative of the constant function k, where k is a positive constant?
a) 0
b) 1
c) k
d) undefined
Answer: a) 0
What is the integral of the function g(x) = 2sin(πx) with respect to x?
a) 2sin(πx) + C
b) (2/π)cos(πx) + C
c) 2cos(πx) + C
d) (1/π)sin(πx) + C
Answer: b) (2/π)cos(πx) + C
What is the derivative of the function f(x) = e^(2x^2)?
a) 2e^(2x)
b) 4xe^(2x^2)
c) e^(4x)
d) 2x^2e^(2x)
Answer: d) 2x^2e^(2x)
What is the integral of the function h(x) = 1/(2x) with respect to x?
a) ln(2x) + C
b) 2ln(x) + C
c) 1/(ln(2x)) + C
d) (1/2)ln(x) + C
Answer: a) ln(2x) + C
What is the derivative of the function f(x) = 3x^3 – 2x^2 + 5x – 1?
a) 9x^2 – 4x + 5
b) 3x^2 – 4x + 5
c) 3x^2 – 2x + 5
d) 9x^2 – 2x + 5
Answer: a) 9x^2 – 4x + 5
Details of the pdf of Handbook of Mathematics Arihant
| Book Name | Handbook of Mathematics |
| Author Name | Arihant Experts |
| Pdf Language | English |
| Pdf Size | 15.2 MB |
| Total Pages | 447 |
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