anonymous
  • anonymous
I have a question about integrals and solving! I will post the problem below.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
anonymous
  • anonymous
@nincompoop
anonymous
  • anonymous
@abb0t

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campbell_st
  • campbell_st
well you can factor out the 7
campbell_st
  • campbell_st
as it will become
campbell_st
  • campbell_st
\[\int\limits_{3}^{5} 7(f(x) + 1)dx = 7\int\limits_{3}^{5} (f(x) + 1) dx\]
anonymous
  • anonymous
I figured out that much. I guess I'm just mainly confused on how to solve after that.
anonymous
  • anonymous
@campbell_st
zepdrix
  • zepdrix
Here are some ways you can break down the left side,\[\large\rm \color{royalblue}{\int\limits_3^5 7f(x)+7~dx}=7\]\[\large\rm \color{royalblue}{\int\limits_3^5 7f(x)dx+\int\limits_3^5 7~dx}=7\]\[\large\rm \color{royalblue}{7\int\limits_3^5 f(x)dx+\int\limits_3^5 7~dx}=7\]
zepdrix
  • zepdrix
Do you understand how that helps us?
anonymous
  • anonymous
I think so
anonymous
  • anonymous
@zepdrix
zepdrix
  • zepdrix
You think so? lol :)
anonymous
  • anonymous
I understand how you got those equations, but not sure how to apply them further
zepdrix
  • zepdrix
Well we're trying to solve for this orange part,\[\large\rm 7\color{orangered}{\int\limits\limits_3^5 f(x)dx}+\int\limits\limits_3^5 7~dx=7\]Just think of this as your "variable" if that helps,\[\large\rm 7\color{orangered}{y}+\int\limits\limits_3^5 7~dx=7\]Solve for y. That's what the question is asking you to do.
anonymous
  • anonymous
so y = -1 ?
zepdrix
  • zepdrix
Ah yes, good job! :)
anonymous
  • anonymous
Thank you!

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