Respuesta:
=45\28
Explicación paso a paso:
[tex]\int _0^1\sqrt[3]{1+7x}dx[/tex]
[tex]=\int _1^8\frac{\sqrt[3]{u}}{7}du[/tex]
[tex]\int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx[/tex]
[tex]=\frac{1}{7}\cdot \int _1^8\sqrt[3]{u}du[/tex]
[tex]=\frac{1}{7}\left[\frac{3}{4}u^{\frac{4}{3}}\right]^8_1[/tex]
[tex]=\frac{1}{7}\cdot \frac{45}{4}[/tex]
[tex]=\frac{45}{28}[/tex]
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Verified answer
Respuesta:
=45\28
Explicación paso a paso:
[tex]\int _0^1\sqrt[3]{1+7x}dx[/tex]
[tex]=\int _1^8\frac{\sqrt[3]{u}}{7}du[/tex]
[tex]\int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx[/tex]
[tex]=\frac{1}{7}\cdot \int _1^8\sqrt[3]{u}du[/tex]
[tex]=\frac{1}{7}\left[\frac{3}{4}u^{\frac{4}{3}}\right]^8_1[/tex]
[tex]=\frac{1}{7}\cdot \frac{45}{4}[/tex]
[tex]=\frac{45}{28}[/tex]
Respuesta:
Explicación paso a paso: