[tex] \rm \large \int( \sqrt{ {x}^{14} } + \frac{4}{ {x}^{3} } ) \: dx \\ [/tex]
Penjelasan dengan langkah-langkah:
[tex] = \int \sqrt{ {x}^{14} } + \frac{4}{ {x}^{3} } \: dx[/tex]
[tex] = \int {x}^{ \frac{14}{2} } + 4 {x}^{ - 3} \: dx[/tex]
[tex] = \int {x}^{7} + 4 {x}^{ - 3} \: dx[/tex]
[tex] = \frac{1}{7 + 1} {x}^{7 + 1} + \frac{4}{ - 3 + 1} {x}^{ - 3 + 1} [/tex]
[tex] = \frac{1}{8} {x}^{8} - \frac{4}{2} {x}^{-2} [/tex]
[tex] = \frac{1}{8} {x}^{8} - \frac{2}{x^2} + C[/tex]
InTEgral
Penjelasan dengan langkah-langkah:
[tex]\int {\sqrt{x^{14}} + \frac{4}{x^3}} \, dx[/tex]
[tex]\sf = \int (x^7 + 4x^{-3}) dx[/tex]
[tex]\sf = \frac{1}{7+1}(x)^{7+1} + \frac{4}{-3+1}(x)^{-3+1} + c[/tex]
[tex]\sf = \frac{1}{8}(x)^{8} + \frac{4}{-2}(x)^{-2} + c[/tex]
[tex]\sf = \frac{1}{8}(x)^{8} -2(x)^{-2} + c[/tex]
[tex]\sf = \frac{1}{8}x^{8} -\frac{2}{x^2} + c[/tex]
[answer.2.content]
