# Integrating (4x+1)^1/2

Tags:
1. Aug 29, 2015

1. The problem statement, all variables and given/known data
Integrate (4x+1)^1/2

2. Relevant equations
Integration (ax+b)^n dx= (ax+b)^(n+1)/ a(n+1)

3. The attempt at a solution
(4x+1)^(3/2)/ 4(3/2)
= (4x+1)^(3/2)/6

3(4x+1)^(3/2)/8

2. Aug 29, 2015

### SammyS

Staff Emeritus
Take the derivative of your result and the correct result. Compare to help you see where you went awry .

3. Aug 29, 2015

### Ray Vickson

No, the actual answer is what YOU obtained. Try differentiating your answer, to check if you get back your initial $(4x+1)^{1/2}$.

4. Aug 29, 2015

### ehild

Your result is correct. (but do not forget adding a C constant )

5. Aug 30, 2015