$\int \sqrt { x } \left( 4 x - \frac { 5 } { x } \right) d x = \frac { 8 x ^ { 5 / 2 } } { 5 } - 10 \sqrt { x } + C$

Name: $\int \sqrt { x } \left( 4 x - \frac { 5 } { x } \right) d x = \frac { 8 x ^ { 5 / 2 } } { 5 } - 10 \sqrt { x } + C$
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Question

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The integration is performed correctly by distributing the square root and integrating each term separately.

∫x(4x−5x)dx=8x5/25−10x+C\int \sqrt { x } \left( 4 x - \frac { 5 } { x } \right) d x = \frac { 8 x ^ { 5 / 2 } } { 5 } - 10 \sqrt { x } + C∫x​(4x−x5​)dx=58x5/2​−10x​+C

$\int \sqrt { x } \left( 4 x - \frac { 5 } { x } \right) d x = \frac { 8 x ^ { 5 / 2 } } { 5 } - 10 \sqrt { x } + C$