Answer to Question #332669 in Calculus for Olga

Question

Evaluate the following integral:

∫ √9x−5dx.

 

a.    1 / 6 √(9x−5) + c

b.   1 / 6 √(9x−5)^3 + c

c.    2 / 27 √ (9x−5) + c

d.   2 / 27 √ (9x - 5) ^3 + c

Answer 1

$F(x)=\sqrt{9x-5}$

$\int\sqrt{9x-5} dx=2/27(\sqrt{(9x-5)^3}+C$

u=9x-5

dx=1/9 u

$1/9\smallint \sqrt{u}du=2/27 \sqrt{u^3}=2/27 \sqrt{(9x-5)^3} +C$

Answer: d