integral dari 12xy(1-y) Dy adalah?
Matematika
aditaminsani
Pertanyaan
integral dari 12xy(1-y) Dy adalah?
1 Jawaban
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1. Jawaban Anonyme
[tex]\displaystyle \int12xy(1-y)\,dy=12x\int y(1-y)\,dy\\\int12xy(1-y)\,dy=12x\int y-y^2\,dy\\\int12xy(1-y)\,dy=12x\cdot\left(\frac12y^2-\frac13y^3\right)+C\\\boxed{\boxed{\int12xy(1-y)\,dy=6xy^2-4xy^3+C}}[/tex]