Soal Quiz Brainly :
Kode soal : 2014-16-12-01
Jenis soal : Triple Integral
Level : Medium-Hard
Petunjuk :
⇒ Kerjakan dengan jawaban yg lengkap dengan caranya !
⇒ Telitilah dalam membaca maksud soal, dan menganalisis data pada soal !
Soal :
Kode soal : 2014-16-12-01
Jenis soal : Triple Integral
Level : Medium-Hard
Petunjuk :
⇒ Kerjakan dengan jawaban yg lengkap dengan caranya !
⇒ Telitilah dalam membaca maksud soal, dan menganalisis data pada soal !
Soal :
Takamori37
![\int_0^6\int_0^{\frac{6-x}{2}}\int_0^{6-x-2y}1\, dz\, dy\, dx \\ \int_0^6\int_0^{\frac{6-x}{2}}z]_0^{6-x-2y}\, dy\, dx \\ \int_0^6\int_0^{\frac{6-x}{2}}6-x-2y\, dy\, dx \\ \int_0^66y-xy-y^2]_0^{\frac{6-x}{2}}\, dx \\ \int _0^6 6\times\frac{6-x}{2}-x\times\frac{6-x}{2}-(\frac{6-x}{2})^2\, dx \\ \int_0^63(6-x)-3x+\frac{1}{2}x^2-\frac{1}{4}(36-12x+x^2)\, dx \\ \int_0^618-3x-3x+\frac{1}{2}x^2-9+3x-\frac{1}{4}x^2\, dx \\ \int_0^6 \frac{1}{4}x^2-3x+9\, dx](https://tex.z-dn.net/?f=%5Cint_0%5E6%5Cint_0%5E%7B%5Cfrac%7B6-x%7D%7B2%7D%7D%5Cint_0%5E%7B6-x-2y%7D1%5C%2C+dz%5C%2C+dy%5C%2C+dx+%5C%5C+%5Cint_0%5E6%5Cint_0%5E%7B%5Cfrac%7B6-x%7D%7B2%7D%7Dz%5D_0%5E%7B6-x-2y%7D%5C%2C+dy%5C%2C+dx+%5C%5C+%5Cint_0%5E6%5Cint_0%5E%7B%5Cfrac%7B6-x%7D%7B2%7D%7D6-x-2y%5C%2C+dy%5C%2C+dx+%5C%5C+%5Cint_0%5E66y-xy-y%5E2%5D_0%5E%7B%5Cfrac%7B6-x%7D%7B2%7D%7D%5C%2C+dx+%5C%5C+%5Cint+_0%5E6+6%5Ctimes%5Cfrac%7B6-x%7D%7B2%7D-x%5Ctimes%5Cfrac%7B6-x%7D%7B2%7D-%28%5Cfrac%7B6-x%7D%7B2%7D%29%5E2%5C%2C+dx+%5C%5C+%5Cint_0%5E63%286-x%29-3x%2B%5Cfrac%7B1%7D%7B2%7Dx%5E2-%5Cfrac%7B1%7D%7B4%7D%2836-12x%2Bx%5E2%29%5C%2C+dx+%5C%5C+%5Cint_0%5E618-3x-3x%2B%5Cfrac%7B1%7D%7B2%7Dx%5E2-9%2B3x-%5Cfrac%7B1%7D%7B4%7Dx%5E2%5C%2C+dx+%5C%5C+%5Cint_0%5E6+%5Cfrac%7B1%7D%7B4%7Dx%5E2-3x%2B9%5C%2C+dx "\int_0^6\int_0^{\frac{6-x}{2}}\int_0^{6-x-2y}1\, dz\, dy\, dx \\ \int_0^6\int_0^{\frac{6-x}{2}}z]_0^{6-x-2y}\, dy\, dx \\ \int_0^6\int_0^{\frac{6-x}{2}}6-x-2y\, dy\, dx \\ \int_0^66y-xy-y^2]_0^{\frac{6-x}{2}}\, dx \\ \int _0^6 6\times\frac{6-x}{2}-x\times\frac{6-x}{2}-(\frac{6-x}{2})^2\, dx \\ \int_0^63(6-x)-3x+\frac{1}{2}x^2-\frac{1}{4}(36-12x+x^2)\, dx \\ \int_0^618-3x-3x+\frac{1}{2}x^2-9+3x-\frac{1}{4}x^2\, dx \\ \int_0^6 \frac{1}{4}x^2-3x+9\, dx")
![\frac{1}{4}\times\frac{1}{3}x^3-\frac{3}{2}x^2+9x]_0^6 \\ \frac{1}{12}x^3-\frac{3}{2}x^2+9x]_0^6 \\ (\frac{1}{12}(6)^3-\frac{3}{2}(6)^2+9(6))-(\frac{1}{12}(0)^3-\frac{3}{2}(0)^2+9(0)) \\ \frac{216}{12}-\frac{108}{2}+54-0 \\ 18-54+54 \\ 18](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5Ctimes%5Cfrac%7B1%7D%7B3%7Dx%5E3-%5Cfrac%7B3%7D%7B2%7Dx%5E2%2B9x%5D_0%5E6+%5C%5C+%5Cfrac%7B1%7D%7B12%7Dx%5E3-%5Cfrac%7B3%7D%7B2%7Dx%5E2%2B9x%5D_0%5E6+%5C%5C+%28%5Cfrac%7B1%7D%7B12%7D%286%29%5E3-%5Cfrac%7B3%7D%7B2%7D%286%29%5E2%2B9%286%29%29-%28%5Cfrac%7B1%7D%7B12%7D%280%29%5E3-%5Cfrac%7B3%7D%7B2%7D%280%29%5E2%2B9%280%29%29+%5C%5C+%5Cfrac%7B216%7D%7B12%7D-%5Cfrac%7B108%7D%7B2%7D%2B54-0+%5C%5C+18-54%2B54+%5C%5C+18 "\frac{1}{4}\times\frac{1}{3}x^3-\frac{3}{2}x^2+9x]_0^6 \\ \frac{1}{12}x^3-\frac{3}{2}x^2+9x]_0^6 \\ (\frac{1}{12}(6)^3-\frac{3}{2}(6)^2+9(6))-(\frac{1}{12}(0)^3-\frac{3}{2}(0)^2+9(0)) \\ \frac{216}{12}-\frac{108}{2}+54-0 \\ 18-54+54 \\ 18")
2 votes
Thanks 1
QuizBrainly
siip mas agra, tapi spertinya ada yg kurang deh, coba cek lagi pada baris ke 7, monggo diteliti sedikit lagi :)
Takamori37
Edited
QuizBrainly
monggo diteliti lagi pada baris ke 9 dan ke 10, masih ada yg kurang mas, dikit lagi :)
Takamori37
Edited (Attempt : 2)
QuizBrainly
Siip, akhirnya benar juga jawaban akhir dan caranya, untuk penilaian maka saya nilai mas agra berhasil menjawab dgn benar. Jika ada yg perlu ditanyakan lagi bisa ke akun asli saya yaitu "icuk18sugiarto", atau jika ingin request soal quiz langsung PM ke akun ini atau akun asli saya, salam Quiz Brainly :)
Takamori37
Siap
QuizBrainly
Terima kasih atas partisipasinya mas :)
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