Matematika Sekolah Menengah Atas genapin poin smpe 100k

∫ (12y³ + 18y²)dy = ​

genapin poin smpe 100k

∫ (12y³ + 18y²)dy = ​

Jawaban:

[tex] \int(12y³ + 18y²) \: dy \\ [/tex]

[tex] = \frac{12}{3 + 1} {y}^{3 + 1} + \frac{18}{2 + 1} {y}^{2 + 1} [/tex]

[tex] = \frac{12}{4} {y}^{4} + \frac{18}{3} {y}^{3} [/tex]

[tex] = 3 {y}^{4} + 6 {y}^{3} + c[/tex]

semoga membantu, semangat belajar!

Penjelasan dengan langkah-langkah:

[tex] \sf \int( {12y}^{3} + {18y}^{2} )dy \\ [/tex]

[tex] \sf = \frac{12}{3 + 1} {y}^{3 + 1} + \frac{18}{2 + 1} {y}^{2 + 1} + c[/tex]

[tex] \sf = \frac{12}{4} {y}^{3 + 1} + \frac{18}{3} {y}^{2 + 1} + c[/tex]

[tex] \sf = \frac{12}{4} {y}^{4} + \frac{18}{3} {y}^{3} + c[/tex]

[tex] \sf = (12 \div 4) {y}^{4} + (18 \div 3) {y}^{3} + c[/tex]

[tex] \bf = 3 {y}^{4} + 6y {}^{3} + c[/tex]

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