💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

# Evaluate the indefinite integral.$\displaystyle \int \frac{a + bx^2}{\sqrt{3ax + bx^3}} \, dx$

## $$\frac{2}{3} \sqrt{3 a x+b x^{3}}+C$$

Integrals

Integration

### Discussion

You must be signed in to discuss.
##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp

### Video Transcript

we know that you miss a X, possibly x cubed trees. That D axe is Do you divide by three times a pulse Piak square. Which means we can pull the constant 1/3. Multiply it by you to the negative 1/2 do you? Which gives us when we back Substitute end use three acts supposed to be X cubed 2/3 times the square root of three x plus p x cubed policy.

#### Topics

Integrals

Integration

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp