[tex] \huge \sf\int(3x + 5) {}^{3} dx[/tex]
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Penjelasan dengan langkah-langkah:
[tex]\boxed{\huge \sf\int(3x + 5) {}^{3} dx}[/tex]
[tex]\boxed{\huge \sf\int(3 + 5)x {}^{3} dx}[/tex]
[tex]\boxed{\huge \sf\int8x {}^{3} dx}[/tex]
[tex]\boxed{\huge\sf = \frac{8}{3 + 1} {x}^{3 + 1} + c}[/tex]
[tex]\boxed{\huge\sf = \frac{8}{4} {x}^{4} + c}[/tex]
[tex]\boxed{\huge\sf =\huge {2x}^{4}\huge + c}[/tex]
integral subtitusi
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[tex]\sf\int(3x + 5) {}^{3} dx \\ [/tex]
[tex]\sf = {u}^{3} . \frac{du}{3} [/tex]
[tex]\sf = \frac{1}{3} . \frac{1}{3 + 1} {u}^{3 + 1} [/tex]
[tex]\sf = \frac{1}{3} . \frac{1}{4} {u}^{4} [/tex]
[tex]\sf = \frac{1}{12} {u}^{4} [/tex]
[tex]\sf = \frac{1}{12} (3x + 5) {}^{4} + c[/tex]
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» Detail Jawaban
Mapel : Matematika
Kelas : Xl
Materi : integral
Bab : -
Kode Soal : 2
[answer.2.content]
