Find the Most General Antiderivative of the Function $f ( x ) = \frac { 1 + 3 x } { x \sqrt { x } }$

Find the most general antiderivative of the function $f ( x ) = \frac { 1 + 3 x } { x \sqrt { x } }$ .

A) $x ^ { \frac { - 1 } { 2 } } + 6 x ^ { \frac { 1 } { 2 } } + C$

B) $- 2 x ^ { \frac { - 1 } { 2 } } - 6 x ^ { \frac { 1 } { 2 } } + C$
C) $- 2 x ^ { \frac { - 1 } { 2 } } + x ^ { \frac { 1 } { 2 } } + C$
D) $- 2 x ^ { \frac { - 1 } { 2 } } + 3 x ^ { \frac { 1 } { 2 } } + C$
E) $- 2 x ^ { \frac { - 1 } { 2 } } + 6 x ^ { \frac { 1 } { 2 } } + C$
F) $3 \sqrt { x } + C$

G) $2 x ^ { \frac { - 1 } { 2 } } + 6 x ^ { \frac { 1 } { 2 } } + C$

H) $x + 6 \sqrt { x } + C$

Correct Answer:

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Access For Free