Use a trigonometric substitution to evaluate the integral.
-$$\int \frac { d x } { 2 \sqrt { x } ( 1 + x ) }$$
A) $\frac { 1 } { 2 } \tan ^ { - 1 } \sqrt { x } + C$
B) $\frac { 1 } { 2 } \sin ^ { - 1 } \sqrt { x } + C$
C) $\frac { 1 } { 2 } \ln | x | + C$
D) $\tan ^ { - 1 } \sqrt { x } + C$

Question

Quizplus · Accepted Answer

The Answer of Use a trigonometric substitution to evaluate the integral.
-$$\int \frac { d x } { 2 \sqrt { x } ( 1 + x ) }$$
A) $\frac { 1 } { 2 } \tan ^ { - 1 } \sqrt { x } + C$
B) $\frac { 1 } { 2 } \sin ^ { - 1 } \sqrt { x } + C$
C) $\frac { 1 } { 2 } \ln | x | + C$
D) $\tan ^ { - 1 } \sqrt { x } + C$

Use a Trigonometric Substitution to Evaluate the Integral ∫dx2x(1+x)\int \frac { d x } { 2 \sqrt { x } ( 1 + x ) }∫2x​(1+x)dx​

Use a Trigonometric Substitution to Evaluate the Integral $\int \frac { d x } { 2 \sqrt { x } ( 1 + x ) }$