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Numerade Educator

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Problem 19 Easy Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \frac{a + bx^2}{\sqrt{3ax + bx^3}} \, dx $

Answer

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

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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.