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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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