Sobre a Integral 5∫1(1+2x)dx é correto afirmar que:
a) trata-se de uma integral indefinida.
b) vale 28.
c) vale -10
d) não é integrável.
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Solução!
![\displaystyle \int_{1}^{5} (1+2x)dx\\\\\\
I=(x+x^{2})~~\bigg|_{1}^{5} \\\\\\
I=(x+x^{2})-(x+x^{2})\\\\\\\
I=(5+(5)^{2})-(1+(1)^{2})\\\\\\\
I=(5+25)-(1+1)\\\\\\\
I=(30)-(2)\\\\\\\
I=30-2\\\\\\\
I=28\\\\\\\
\boxed{Resposta:\displaystyle \int_{1}^{5} (1+2x)dx=28~~\boxed{Alternativa~~B}}](https://tex.z-dn.net/?f=%5Cdisplaystyle+%5Cint_%7B1%7D%5E%7B5%7D+%281%2B2x%29dx%5C%5C%5C%5C%5C%5C%0AI%3D%28x%2Bx%5E%7B2%7D%29%7E%7E%5Cbigg%7C_%7B1%7D%5E%7B5%7D+%5C%5C%5C%5C%5C%5C%0AI%3D%28x%2Bx%5E%7B2%7D%29-%28x%2Bx%5E%7B2%7D%29%5C%5C%5C%5C%5C%5C%5C%0AI%3D%285%2B%285%29%5E%7B2%7D%29-%281%2B%281%29%5E%7B2%7D%29%5C%5C%5C%5C%5C%5C%5C%0AI%3D%285%2B25%29-%281%2B1%29%5C%5C%5C%5C%5C%5C%5C+%0AI%3D%2830%29-%282%29%5C%5C%5C%5C%5C%5C%5C+%0AI%3D30-2%5C%5C%5C%5C%5C%5C%5C+%0AI%3D28%5C%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7BResposta%3A%5Cdisplaystyle+%5Cint_%7B1%7D%5E%7B5%7D+%281%2B2x%29dx%3D28%7E%7E%5Cboxed%7BAlternativa%7E%7EB%7D%7D%0A "\displaystyle \int_{1}^{5} (1+2x)dx\\\\\\
I=(x+x^{2})~~\bigg|_{1}^{5} \\\\\\
I=(x+x^{2})-(x+x^{2})\\\\\\\
I=(5+(5)^{2})-(1+(1)^{2})\\\\\\\
I=(5+25)-(1+1)\\\\\\\
I=(30)-(2)\\\\\\\
I=30-2\\\\\\\
I=28\\\\\\\
\boxed{Resposta:\displaystyle \int_{1}^{5} (1+2x)dx=28~~\boxed{Alternativa~~B}}")
Boa tarde!
Bons estudos!
Solução!
Boa tarde!
Bons estudos!
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