QUESTION 14 \begin{equation*} \int \frac {x^2}{x - 1} \: dx \end{equation*} 🔍 Solution \begin{equation*} \begin{split} & \int \frac {x^2}{x...

QUESTION 13 \begin{equation*} \int\frac{x^5}{\sqrt{x^3-2}} \: dx \end{equation*} 🔍 Solution \begin{equation*} \begin{split} & \int\frac{x^5}{\sqrt{x^3-2}} \: dx \\\\ & \int\frac{\cancel{x^5}}{\sqrt{u}} \:...

QUESTION 12 \begin{equation*} \int x \:.\: \sqrt{x + 2}\: dx \end{equation*} 🔍 Solution     \begin{equation*} \begin{split} & \int...

QUESTION 11 \begin{equation*} \int\frac{2x+3}{2x-6}\: dx \end{equation*} 🔍 Solution \begin{equation*} \begin{split} & \int\frac{2x+3}{2x-6}\: dx \\\\ & \int\frac{2x-6+9}{2x-6} \: dx \\\\...

QUESTION 10 \begin{equation*} \int \frac{x-1}{x+1}\: dx \end{equation*} 🔍 Solution     \begin{equation*} \begin{split} & \int\frac{x-1}{x+1}\: dx \\\\ & \int\frac{u...

QUESTION 09 \begin{equation*} \int\frac{dx}{\sqrt{x \:.\: \left(1+\sqrt{x} \right)}} \end{equation*} 🔍 Solution \begin{equation*} \begin{split} & \int\frac{dx}{\sqrt{x \:.\: \left(1+\sqrt{x} \right)}} \\\\ &...

QUESTION 08 \begin{equation*} \int \frac{3(1-\frac{1}{x})^2}{x^2} \: dx \end{equation*} 🔍 Solution \begin{equation*} \begin{split} & \int \frac{3(1-\frac{1}{x})^2}{x^2} \: dx \\\\ &...

QUESTION 07 \begin{equation*} \int \frac{dx}{\sqrt{2x+4}+\sqrt{2x+2}} \end{equation*} 🔍 Solution \begin{equation*} \begin{split} & \int \frac{dx}{\sqrt{2x+4}+\sqrt{2x+2}} \\\\ & \int \frac{dx}{\sqrt{2x+4}+\sqrt{2x+2}} {\color {blue}...

QUESTION 06 \begin{equation*} \int\frac{x^2+2x}{\sqrt{x^3+3x^2+1}} \: dx \end{equation*} 🔍 Solution \((x^3+3x^2+1)\) akan dijadikan sebagai variabel \begin{equation*} \begin{split} & \int\frac{x^2+2x}{\sqrt{x^3+3x^2+1}} \:...

QUESTION 05 \begin{equation*} \int \frac{x+1}{\sqrt{x^2+2x}}\: dx \end{equation*} 🔍 Solution     \begin{equation*} \begin{split} & \int \frac{x+1}{\sqrt{x^2+2x}}\: dx \\\\ &...