tolong beserta cara penyelesaiannya ...
Matematika
ryvenush
Pertanyaan
tolong beserta cara penyelesaiannya ...
1 Jawaban
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1. Jawaban ReyzaFadlyMaghfiroh
[tex] \int\limits^9_4 {(2 \sqrt{x} - \frac{1}{ \sqrt{x} }) } \, dx = \int\limits^9_4 {2 \sqrt{x} } \, dx - \int\limits^9_4 { \frac{1}{ \sqrt{x} } } \, dx [/tex]
= [tex] [ \frac{2 x^{ \frac{1}{2} + 1} }{ \frac{1}{2} + 1} + C ] - [\frac{1 x^{ \frac{-1}{2}+1 } }{ \frac{x}{- \frac{1}{2} + 1} }+C] [/tex]
= [tex] \frac{4x \sqrt{x} }{3} - 2 \sqrt{x} [/tex]
= [tex] (\frac{4. 9 \sqrt{9} }{3} - 2 \sqrt{9}}) - (\frac{4 . 4 \sqrt{4} }{3} - 2 \sqrt{4}) [/tex]
= [tex] 30 - \frac{20}{3} [/tex]
=[tex]23 \frac{1}{3} [/tex]