QUESTION 10 Sebuah kurva memiliki turunan kedua \(f''(x) = 8\) dan memiliki koordinat titik maksimum \((1,-3)\). Tentukan titik potong...

Integral Aljabar Bentuk Dasar 10

QUESTION 10 Sebuah kurva memiliki turunan kedua \(f''(x) = 8\) dan memiliki koordinat titik maksimum \((1,-3)\). Tentukan titik potong...

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...

Integral Aljabar Bentuk Substitusi 10

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 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 \\\\...

Integral Aljabar Bentuk Substitusi 11

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

Integral Aljabar Bentuk Substitusi 12

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

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}} \:...

Integral Aljabar Bentuk Substitusi 13

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

Integral Aljabar Bentuk Substitusi 14

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

QUESTION 15 \(\displaystyle \int_1^5 (3x + 1) \sqrt{\frac 34 x + 0,25} \: dx = \bbox[10px, border: 2px solid...

Integral Aljabar Bentuk Substitusi 15

QUESTION 15 \(\displaystyle \int_1^5 (3x + 1) \sqrt{\frac 34 x + 0,25} \: dx = \bbox[10px, border: 2px solid...

QUESTION 16 \(\displaystyle 15 \int_2^3 x \:.\: \sqrt{x - 2} \: dx\) 🔍 Solution \begin{equation*} \begin{split} &15 \int_2^3 x...

Integral Aljabar Bentuk Substitusi 16

QUESTION 16 \(\displaystyle 15 \int_2^3 x \:.\: \sqrt{x - 2} \: dx\) 🔍 Solution \begin{equation*} \begin{split} &15 \int_2^3 x...

QUESTION 17 \(\displaystyle \int_0^4 \frac {1}{\sqrt{x} \:.\: \left(\sqrt{x} + 1 \right)} \: dx\) 🔍 Solution \begin{equation*} \begin{split} &\int_0^4 \frac...

Integral Aljabar Bentuk Substitusi 17

QUESTION 17 \(\displaystyle \int_0^4 \frac {1}{\sqrt{x} \:.\: \left(\sqrt{x} + 1 \right)} \: dx\) 🔍 Solution \begin{equation*} \begin{split} &\int_0^4 \frac...

QUESTION 18 Sebuah kurva memiliki turunan kedua \(y'' = \dfrac {3}{\sqrt{2x + 1}}\). Persamaan garis singgung kurva pada titik...

Integral Aljabar Bentuk Substitusi 18

QUESTION 18 Sebuah kurva memiliki turunan kedua \(y'' = \dfrac {3}{\sqrt{2x + 1}}\). Persamaan garis singgung kurva pada titik...