- #1
karush
Gold Member
MHB
- 3,269
- 5
$\large {S6.7.1.13}$
$\tiny\text {natural log Integration}$
$$\displaystyle
\int e^{\sqrt[3]{x}} \, dx
= 3\left(x^\frac{2}{3}
-2\sqrt[3]{x}
+2\right){e}^\sqrt[3]{x}+C \\
u=x^{1/3} \therefore 3{x}^{\frac{2}{3}} du
= dx $$
$\text{not sure if this is how to start to get to a 3 term answer} $
$\tiny\text{ Surf the Nations math study group}$
![Person surfing :person_surfing: 🏄](https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f3c4.png)
$\tiny\text {natural log Integration}$
$$\displaystyle
\int e^{\sqrt[3]{x}} \, dx
= 3\left(x^\frac{2}{3}
-2\sqrt[3]{x}
+2\right){e}^\sqrt[3]{x}+C \\
u=x^{1/3} \therefore 3{x}^{\frac{2}{3}} du
= dx $$
$\text{not sure if this is how to start to get to a 3 term answer} $
$\tiny\text{ Surf the Nations math study group}$
![Person surfing :person_surfing: 🏄](https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f3c4.png)
![Person surfing :person_surfing: 🏄](https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f3c4.png)
![Person surfing :person_surfing: 🏄](https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f3c4.png)
Last edited: