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ET365
 one year ago
Integral from 0,4 (52x)dx, guys whats the simplest way to work this??
ET365
 one year ago
Integral from 0,4 (52x)dx, guys whats the simplest way to work this??

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Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0well, do you know how to calculate the antiderivative (integral) of 5  2x?

ET365
 one year ago
Best ResponseYou've already chosen the best response.0That would be x^2+c correct?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.4I will give you an example that is similar to this: \(\large\color{black}{ \displaystyle \int_{ 2 }^{8}\left(710x\right){~}dx }\) *[1]* An integral of a constant *b* (with respect to x) is equal to *bx*. (For any nonzero number *b*.) *[2]* An integral of any \(x^n\) (with respect to x) is \(x^{n+1}/(n+1)\), and integral of b•\(x^n\) (when you have a coefficient b in front) is \({\rm b}x^{n+1}/(n+1)\) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ So you first integrate each term: 1) The integral of 7 is 7x (based on *[1]* ). 2) The integral of 10x (which is same as 10x\(^1\), is \({\rm 10}x^{1+1}/(1+1)=10x^2/2=5x^2\) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ So you get: \(\large\color{black}{ \displaystyle \int_{ 2 }^{8}\left(710x\right){~}dx =7x5x^2 }\) and then evaluate that from x=2 to x=8 (those are the limits of integration) In other words: \(\large\color{black}{ \displaystyle \int_{ 2 }^{8}\left(710x\right){~}dx =\left[7(8)5(8)^2\right] \left[7(2)5(2)^2\right]=258 }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.4This is an example, read through it and ask if you have any questions.

ET365
 one year ago
Best ResponseYou've already chosen the best response.0So what happens the the dx?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.4So the \(\displaystyle \int_{a}^{b}\) and \(\rm dx\) are just indicating that you are integrating with respect to x, from x=a to x=b.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.4dw:1443663482558:dw

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.4area between the xaxis and the function over the interval [a,b]

ET365
 one year ago
Best ResponseYou've already chosen the best response.0Ahh I gotcha, so theres another problem, but this one is (1+sqrt(49x^2)dx. My problem here is figuring out the integral of the square root.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.4\(\large\color{black}{\displaystyle\int\limits_{~}^{~}\left(1+\sqrt{49x^2}\right)~dx}\)

ET365
 one year ago
Best ResponseYou've already chosen the best response.0Yes, the period is betweek 7 and 0, but once I get to that portion its easy to figure out so I left out those numbers

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.4Did you learn the *Trigonometric Substitution* method?

ET365
 one year ago
Best ResponseYou've already chosen the best response.0I was definitely supposed to learn that, but I've been drawing blanks from stress these past few days.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.4Do you have the limits of integration given?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.4You can do reinman sums for now (with n=10 or something like this)..... or, you can read lamar tutorials about integration (they are very helpful), and then try your integral.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.4(I can go offline at any moment, I have to move on)

ET365
 one year ago
Best ResponseYou've already chosen the best response.0Ahh I understand thank you for your responses, they were extremely helpful!!

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.4sure... whatever I can...
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