## Contents in Handbook of Mathematics Arihant Pdf

In this math pdf book, There are a total of 39 chapters. These names are the following:

1. Sets and Relations
2. Functions and Binary Operations
3. Complex Numbers
4. Theory of Equations and Inequations
5. Sequences and Series
6. Permutations and Combinations
7. Binomial Theorem and Principle of Mathematical Induction
8. Matrices
9. Determinants
10. Probability
11. Trigonometric Functions, Identities and Equations
12. Solution of Triangles
13. Heights and Distances
14. Inverse Trigonometric Functions
15. Rectangular Axis
16. Straight Line
17. Circles
18. Parabola
19. Ellipse
20. Hyperbola
21. Limits, Continuity & Differentiability
22. Derivatives
23. Application of Derivatives
24. Indefinite Integrals
25. Definite Integrals
26. Applications of Integrals
27. Differential Equations
28. Vectors
29. Three Dimensional Geometry
30. Statistics
31. Mathematical Reasoning
32. Linear Programming Problem
33. Elementary Arithmetic-1
34. Elementary Arithmetic-2
35. Elementary Arithmetic-3
36. Elementary Algebra
37. Logarithms
38. Geometry
39. 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

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

What is the derivative of the exponential function, e^x?
a) 1
b) x
c) e^x
d) 0

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

Which rule is used to find the derivative of a constant multiple of a function, k * f(x)?
a) Chain rule
b) Power rule
c) Constant multiple rule
d) Quotient rule

What is the derivative of the natural logarithm of x, ln(x)?
a) 1/x
b) x
c) 0
d) -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

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)

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

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

## 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

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

What is the derivative of the function f(x) = ln(4x)?
a) (1/x)
b) 4ln(x)
c) (1/4x)
d) ln(4)

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

What is the derivative of the constant function k, where k is a positive constant?
a) 0
b) 1
c) k
d) undefined

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

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)

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

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

What is the integral of the function g(x) = 3e^(2x)sin(3x) with respect to x?
a) (3/13)e^(2x)(3sin(3x) – 2cos(3x)) + C
b) (3/2)e^(2x)(sin(3x) – 2cos(3x)) + C
c) (3/2)e^(2x)(3sin(3x) – 2cos(3x)) + C
d) (3/13)e^(2x)(sin(3x) – 2cos(3x)) + C
Answer: a) (3/13)e^(2x)(3sin(3x) – 2cos(3x)) + C

## Details of the pdf of Handbook of Mathematics Arihant  