tolong bantu jawab soal integral lipatnya
Matematika
Marisacha
Pertanyaan
tolong bantu jawab soal integral lipatnya
2 Jawaban
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1. Jawaban widyatmaleo
Jawaban dari integral tersebut adalah - 2/3. Semoga membantu.2. Jawaban whongaliem
[tex] \int\limits^4_3 \int\limits^3_2 {( x^{2} - 2y} )\, dx \, dy = \int\limits^4_3 { [\frac{1}{3} x^{2} - 2xy}] \left \{ {{3} \atop {2}} \right. \, dy [/tex]
[tex]= \int\limits^4_3 {[ \frac{1}{3} 3^{3} - 2. 3.y] - [\frac{1}{3} 2^{3} - 2 .2y} ]\, dy [/tex]
[tex]= \int\limits^4_3 {9 - 6y - \frac{8}{3} + 4y} \, dy[/tex]
[tex] \int\limits^4_3 { \frac{19}{3} - 2y} \, dy[/tex]
[tex]= \frac{19}{3} y - y^{2} \left \{ {{4} \atop {3}} \right. [/tex]
= [(19/3).4 - (4)²] - [ (19/3) .3 - 3² ]
= 76/3 - 16 - 27/3 + 9
= 49/3 - 7
= 28/3
= 9 1/3Pertanyaan Lainnya