Skip to main content

About Me

Hello guys! I am Mohan Singh 

Welcome to Mathematical World, your number one source for all things related to Mathematics. I am dedicated to giving you the very best of Mathematics Solutions with a focus on quality and real-world problem solution.

Founded in 2021-03-25 by Mohan Singh, Mathematical World has come a long way from its beginnings in 226202 located in India. When I first started out, my passion for Mathematics drove us to start my own blog/website.

We hope you enjoy my blog as much as I enjoy offering them to you. If you have any questions or comments, please don't hesitate to contact me.

Sincerely, Mohan Singh

Comments

Popular posts from this blog

Inverse Trigonometric function - Notes, Concept and All Important Formula

INVERSE TRIGONOMETRIC FUNCTION 1. DOMAIN, RANGE & GRAPH OFINVERSE TRIGONOMETRIC FUNCTIONS : (a) \(\mathrm{f}^{-1}:[-1,1] \rightarrow[-\pi / 2, \pi / 2]\) , \(\mathrm{f}^{-1}(\mathrm{x})=\sin ^{-1}(\mathrm{x})\) (b) \(\mathrm{f}^{-1}:[-1,1] \rightarrow[0, \pi]\) , \(\mathrm{f}^{-1}(\mathrm{x})=\cos ^{-1} \mathrm{x}\) (c) \(\mathrm{f}^{-1}: \mathrm{R} \rightarrow(-\pi / 2, \pi / 2)\) , \(\mathrm{f}^{-1}(\mathrm{x})=\tan ^{-1} \mathrm{x}\) (d) \(\mathrm{f}^{-1}: \mathrm{R} \rightarrow(0, \pi)\) \(\mathrm{f}^{-1}(\mathrm{x})=\cot ^{-1} \mathrm{x}\) (e) \(\mathrm{f}^{-1}:(-\infty,-1] \cup[1, \infty)\) \(\rightarrow[0, \pi / 2) \cup(\pi / 2, \pi]\) , \(\mathrm{f}^{-1}(\mathrm{x})=\sec ^{-1} \mathrm{x}\) (f) \(\mathrm{f}^{-1}:(-\infty,-1] \cup[1, \infty)\) \(\rightarrow[-\pi / 2,0) \cup(0, \pi / 2]\) \(\mathrm{f}^{-1}(\mathrm{x})=\operatorname{cosec}^{-1} \mathrm{x}\) All Chapter Notes, Concept and Important Formula 2. PROPERTIES OF INVERSE CIRCULAR FUNCTIONS: Property-1 : (i) \(y=\sin ...

Trigonometry Ratios and Identities - Notes, Concept and All Important Formula

TRIGONOMETRIC RATIOS & IDENTITIES Table Of Contents 1. RELATION BETWEEN SYSTEM OF MEASUREMENT OF ANGLES : \(\dfrac{D}{90}=\dfrac{G}{100}=\dfrac{2 C}{\pi}\) 1 Radian \(=\dfrac{180}{\pi}\) degree \(\approx 57^{\circ} 17^{\prime} 15^{\prime \prime}\) (approximately) 1 degree \(=\dfrac{\pi}{180}\) radian \(\approx 0.0175\) radian All Chapter Notes, Concept and Important Formula 2. BASIC TRIGONOMETRIC IDENTITIES : (a) \(\sin ^{2} \theta+\cos ^{2} \theta=1\) or \(\sin ^{2} \theta=1-\cos ^{2} \theta\) or \(\cos ^{2} \theta=1-\sin ^{2} \theta\) (b) \(\sec ^{2} \theta-\tan ^{2} \theta=1\) or \(\sec ^{2} \theta=1+\tan ^{2} \theta\) or \(\tan ^{2} \theta=\sec ^{2} \theta-1\) (c) If \(\sec \theta+\tan \theta\) \(=\mathrm{k} \Rightarrow \sec \theta-\tan \theta\) \(=\dfrac{1}{\mathrm{k}} \Rightarrow 2 \sec \theta\) \(=\mathrm{k}+\dfrac{1}{\mathrm{k}}\) (d) \(\operatorname{cosec}^{2} \theta-\cot ^{2} \theta=1\) or \(\operatorname{cosec}^{2} \theta=1+\cot ^{2} \th...

Difference and relation between Differentiation and Integration

Relation between Differentiation and Integration Table Of Contents Look at the information given below. \[\mathbf{ y=f(x)}\] \[ \mathbf{ f'(x)\rightarrow \text{Derivatives of f(x)}}\] \[ \mathbf{\displaystyle \int_a^b f’(x) = ?}\] Can you tell me the value of above integral? Yes, it will be equal to f(b)-f(a) . We have already known this result. It tells us that integration is just the reverse of differentiation, integral of the derivative of the function f(x) is just equal to the difference in the function f(x) evaluated at the limits of integration. Indefinite integration- Notes and Formula Part 1 Now with this topic, we will understand how to apply this result to find the integral of a function.  Consider this function \(\mathbf{g(x)=x^2}\) Let's find the integral of this function from a to b i.e \(\mathbf{\displaystyle \int_a^b g(x) \, dx}\) .  Can you think how we can apply this result to find ...