Matematika Sekolah Menengah Atas [tex]\displaystyle{\sf{\int {u^{\frac{1}{2}}}~du}}[/tex]​

[tex]\displaystyle{\sf{\int {u^{\frac{1}{2}}}~du}}[/tex]​

Penjelasan dengan langkah-langkah:

[tex]\displaystyle{\sf{\int {u^{\frac{1}{2}}}~du}}[/tex]

u^(3/2)/3/2

u^(3/2) × 2/3

2u^(3/2)/3 + c

Penjelasan dengan langkah-langkah:

[tex]\displaystyle{\sf{\int {u^{\frac{1}{2}}}~du}}[/tex]

[tex] = \frac{1}{ \frac{1}{2} + 1} {u}^{ \frac{1}{2} + 1} [/tex]

[tex] = \frac{1}{ \frac{3}{2} } {u}^{ \frac{3}{2} } [/tex]

[tex] = \frac{2}{3} {u}^{ \frac{3}{2} } + c[/tex]

[tex] = \frac{2}{3} \sqrt{ {u}^{3} } [/tex]

[tex] = \frac{2}{3} u \sqrt{u} + c[/tex]

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