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How To Calculate The Riemann Sums Still on the topic of the Definite Integral, today i will be giving examples on how to calculate the Riemann sums. the Riemann sums…

Understanding The Integral Calculus over the past few weeks i have received many emails from various people asking me to solve some questions and abstract problems o…

the question was asked by sainath gunavat,Check out this integral calculus $\int\sqrt{\frac{x}{1-x^2}}dx$?

MTH1301 Test Solutions ( 1 ) Let the universal set be \begin{align*} &\bigcup=\{x:x\ \text{is a natural number less than} 10\}\\ &A=\{x:x\ \text{is an odd…

Linear Approximation Of Functions Given a function $f(x)$,if $x=a$ then the linear approximation of $f(x)$ is given by $L(x)=f'(a)(x-a)+f(a)$ Examples Use Lin…

Differentials of Functions for any function $f(x)$ that is differentiable,we defined $y=f(x)$ so that $\frac{dy}{dx}=f'(x)$ and the differential is given as $dy=…

Example of Monotone Sequences In my last post, i explained  the monotone sequences and their criteria of convergency,now i will be a giving solutions to problems of …

The Monotone Convergence Criterion The monotone sequence is one important aspect of sequences . A monotone sequence is any sequence ${s_n}$ that is either increasin…

The Limits of absolute Values Today i will be posting about a further theorem that is an order property of the limits of sequences.yesterday i talked about a theorem…

22 operation Properties of Infinity they will not teach you in class The Real number system is so diverse that sometimes you will think it is the largest set of numb…

Analysing The "Squeeze or sandwich Theorem" of sequences . Still on the topic of sequences, i want to discuss on a property of the limits of sequences,which i…

( 1 ) A container has 30 gold medals,22 silver medals and 18 bronze medals.if one medal is selected at random from the container, what is the probability that it is no…

Solution To Problems of Convergence Sequence using Epsilon Approach In one of my previous post titled "The convergence Sequence" i discussed about how to i…