Integration
Selected Problems (Pair Type Integration)
$\def\D{\displaystyle}\def\frac{\dfrac}$ (I) Let $C=\D\int \frac{\cos x}{\cos x+\sin x} d x, \q…
$\def\D{\displaystyle}\def\frac{\dfrac}$ (I) Let $C=\D\int \frac{\cos x}{\cos x+\sin x} d x, \q…
Proof : $ \displaystyle \frac{{ax+b}}{{cx+d}}$ is one to one correspondence \$ \displaystyle \begin…
$\def\D{\displaystyle}$ Let $\D a_0,a_1,a_2,\ldots,a_n$ be the coefficients of the expansion of $…
$\newcommand{\D}{\displaystyle} \newcommand{\deta}[1]{\left|\begin{array}{cccccccc}#1\end{array}\ri…
Method of difference Example 1 $\newcommand{\D}{\displaystyle}$ Find $\D \sum_{k=1}^{n}\fra…
H-factor Method for differentation by using first principle Example 1 (h-factor method) Fin…