Evaluate: I will post problem

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Evaluate: I will post problem

Mathematics
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\[\int\limits_{-1}^{3} (3x-5)^4\]
I get to 1/24(3x-5)^8
this is before I substitute

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1st I get u=3x-5 3dc= 1/3 du
the dc is dx
Where are you getting 1/24 and ^8?
never mind the 1/24 and 1/8 I looked at something else as I was writing. I will redo this one first
how about 1/15(3x-5)^5 does that look better? I really unsure about what I am doing.
this answer is before I substitute
Yeah, that looks right
\[\int\limits (3x-5)^4 \, dx = -\frac{1}{15} (5-3 x)^5 \] \[\int\limits_{-1}^3 (3x-5)^4 \, dx= \frac{11264}{5} \] \[\left(-\frac{1}{15} (5-3 x)^5\text{/.}x\to 3\right)-\left(-\frac{1}{15} (5-3 x)^5\text{/.}x\to -1\right)=\frac{11264}{5} \]
Good example to follow. (You miswrote the problem.
why did you switch to 5-3x and not keep it as 3x-5
typo
where did I miswrite the problem? The only thing I left off was the dx at the end
Not you Robto
ok
now I think I should have 1/15(3(3)-5)^4 - 1/15(3(-1)-5)^4 1/15(16) - 1/15(4096) is that correct so far??
Processing chaguanas's statement.
?
are you still there
what's wrong?
did you see the last post I made What I think I should have after substitution
Your process is right. I don't have to check the minutia, that part is all arithmetic. Put you are inputting -1. The writing is very small on the original problem is the low end point 1 or -1?
-1 I was just checking because the problem asks to express as a decimal, approximate to one decimal place. After I do the problem I get -272. I thought I might be doing it wrong.
Approximate to one decimal place, tells you nothing of the answer. It is instructions on how to write your answer. Assuming that is the right answer, to one decimal place is -272.0
ok I was just thinking the answer would be different
mom: Way to go mom. No ambiguity in your problem statement. chaguanas: \[-\frac{1}{15} (5-3 x)^5 = \frac{1}{15} (3 x-5)^5 \] I am using the Mathematica program, version 8, to solve this and that on this web site. With Mathematica at my disposal I am not about to solve anything related to mathematics with pencil and paper. Mathematica has been in development for some years now. In the early years the developers made some decisions regarding the input language construction and what they would deliver for output forms (answers). One thing that "does not look right" is that their polynomial answers are printed with the exponents, in the exponential terms, ordered low to high, not high to low as presented on school chalk/white boards. At first that was annoying for me but soon one adjusts and excepts their formulations. Probably the tendency for some inexperienced math students is to conclude that because a polynomial as written "doesn't look right", it must be inherently wrong and conveys the wrong intent.

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