Encontre a área embaixo do gráfico da função f(x) = 
, onde x ∈ [0, 1]. Esboce essa área.
Soluções para a tarefa
Respondido por
1
Bom dia Toni!
Solução!
![A=\displaystyle \int_{0}^{1} (e^{x}) dx\\\\\\\
A= (e^{x})- (e^{x})\bigg|_{0}^{1}\\\\\\
Costante~~de~~Euler~~2,718\\\\\\
A= (e^{1})- (e^{0})\bigg|_{0}^{1}\\\\\\
A= (e^{1})- (1)\\\\\\
A= (2,718- 1)\\\\\\
\boxed {A=1,718~u.a}](https://tex.z-dn.net/?f=A%3D%5Cdisplaystyle+%5Cint_%7B0%7D%5E%7B1%7D+%28e%5E%7Bx%7D%29+dx%5C%5C%5C%5C%5C%5C%5C%0AA%3D+%28e%5E%7Bx%7D%29-+%28e%5E%7Bx%7D%29%5Cbigg%7C_%7B0%7D%5E%7B1%7D%5C%5C%5C%5C%5C%5C%0ACostante%7E%7Ede%7E%7EEuler%7E%7E2%2C718%5C%5C%5C%5C%5C%5C%0AA%3D+%28e%5E%7B1%7D%29-+%28e%5E%7B0%7D%29%5Cbigg%7C_%7B0%7D%5E%7B1%7D%5C%5C%5C%5C%5C%5C%0AA%3D+%28e%5E%7B1%7D%29-+%281%29%5C%5C%5C%5C%5C%5C%0AA%3D+%282%2C718-+1%29%5C%5C%5C%5C%5C%5C%0A%5Cboxed+%7BA%3D1%2C718%7Eu.a%7D "A=\displaystyle \int_{0}^{1} (e^{x}) dx\\\\\\\
A= (e^{x})- (e^{x})\bigg|_{0}^{1}\\\\\\
Costante~~de~~Euler~~2,718\\\\\\
A= (e^{1})- (e^{0})\bigg|_{0}^{1}\\\\\\
A= (e^{1})- (1)\\\\\\
A= (2,718- 1)\\\\\\
\boxed {A=1,718~u.a}")
Gráfico anexo!
Bom dia!
Bons estudos!
Solução!
Gráfico anexo!
Bom dia!
Bons estudos!
Anexos:
Perguntas interessantes