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Mathematics 7 Online
OpenStudy (anonymous):

please help, with definite integral??

OpenStudy (anonymous):

OpenStudy (luigi0210):

Post de question~

OpenStudy (luigi0210):

Do you know how to integrate it?

OpenStudy (anonymous):

Posted, would like to see step by step ...

OpenStudy (luigi0210):

First do \(\large \int (t^5-t^3+1)~dt\).. or do you not know how to integrate it?

OpenStudy (anonymous):

I've tried could not ... more

OpenStudy (anonymous):

2*t^5-2*t^3+2

OpenStudy (anonymous):

?

OpenStudy (luigi0210):

It's backwards differentiation pretty much. Instead of bring down a power and subtract from the exponent, you bring a power up and add to the exponent.. Like \(\large \int t^5=\frac{1}{6}t^6\)

OpenStudy (luigi0210):

+C of course

OpenStudy (luigi0210):

If you derive \(\frac{1}{6}t^6\) you get \(t^5\)

OpenStudy (rock_mit182):

you could make this \[\int\limits_{2}^{4}(t ^{5}-t ^{3}+1)dt=\int\limits_{2}^{4}t ^{5}dt -\int\limits_{2}^{4}t ^{3}dt+\int\limits_{2}^{4}1dt\] and then evaluated everything

OpenStudy (anonymous):

these two forms are correct?

OpenStudy (rock_mit182):

yeah sure because of the integral is a linear operator

OpenStudy (anonymous):

So thank you to both of you ..... thank you ....

OpenStudy (anonymous):

have to put C + on the right end?

OpenStudy (anonymous):

+ C

OpenStudy (luigi0210):

Not for definite, you have limits

OpenStudy (luigi0210):

I was just using the indefinite to get the general integral first

OpenStudy (rock_mit182):

tudo bem meu amigo ;)

OpenStudy (anonymous):

esqueço que você entendi o português rsrs

OpenStudy (rock_mit182):

kkk ñao problema

OpenStudy (anonymous):

mais uma vez obrigado meu parceiro...

OpenStudy (mathmale):

Fabio! Como posso ajudá-la hoje?

OpenStudy (anonymous):

oi meu amigo, tudo bom?

OpenStudy (mathmale):

O seu "integral definida" aqui é muito parecido com o que trabalhamos ontem. Precisamos usar a Regra de energia. Você copiar a regra de energia de ontem? Estou muito bem, e obrigado por perguntar!

OpenStudy (mathmale):

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