Mathematics (Science & Mathematics) - 27 September 2007

I worked out the following problem by first integrating by parts, and then solving the second integral via trig substitution. After combining everything together, I got pi/288 as my answer, but the fnint function (which can calculate the numerical value of a definite integral) on my calculator is giving me a different answer. Please work out this problem step-by-step so I can see exactly how you are supposed to do it:

1. x arcsin(6x) dx from 0 to 1/6 (definite integral)

(which reads as x times the sine inverse of 6x).

I tried doing a U substitution for this problem, but I’m not exactly sure how you are supposed to do it, or if you have to do multiple substitutions before you can integrate. Please work out this problem step-by-step so I can see the correct approach:

2. x^2 (e^x)^(1/4) dx from 0 to 1 (definite integral)

(which reads as x squared times the fourth root of e^x; note that the entire expression of e^x is under the fourth root).

2007-09-27 21:10:59 · 4 answers · asked by Ryan_1770 1

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1/4x + 3 = 15?

2007-09-27 21:07:15 · 6 answers · asked by Anonymous

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Deriving trig functions?

Im having some difficulty deriving a trig function using the product rule.
5x(sinx+cosx)
Should I even be using the product rule on this equation? I mean it does have a multiplying structure.

2007-09-27 20:51:33 · 4 answers · asked by ret80soft 1

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Local linear approximations.?

The side of a square is measure to be 10 ft., with a possible error of +/- .1 ft. (a) Use differentials to estimate the error in the calculated area. (b) Estimate the percentage errors in the side and the area. Please show work.

2007-09-27 20:07:02 · 1 answers · asked by xapatheticxkinzx 3

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What is an equation of the line that passes through the point (-1,5) and has a slope -3?

2007-09-27 19:24:28 · 6 answers · asked by ray 1

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If a football field is 100 yards, how long is it in meters?

2007-09-27 19:09:33 · 6 answers · asked by i <3 u 1

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whose your favorite mathtician?

2007-09-27 19:03:01 · 3 answers · asked by darcyaf1 3

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what series of numbers equal TEN?

for example (1+2+3+4) =10

2007-09-27 19:01:29 · 2 answers · asked by darcyaf1 3

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what is lim sinx as x approaches positive infinity?

I am between two: The value 1 >=Sinx>= -1. But which one of them is my limit at X approaching infinity

2007-09-27 18:55:33 · 7 answers · asked by wiz monk 1

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How do you graph y = I x+2 I ?

2007-09-27 18:31:13 · 8 answers · asked by Jennifer L 1

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write in set notation x is greater than 4?

2007-09-27 18:27:31 · 3 answers · asked by Anonymous

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100,000 hours?

I want to by a book clip/light thing that claims the LED light lasts "100,000 hours". I suck at doing math in my head, so how many months/years would 100,000 hours equal to?

2007-09-27 18:10:59 · 11 answers · asked by ♥Kay 4

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what general statement can be made for ln(a) -ln(b) =0?

2007-09-27 18:10:10 · 4 answers · asked by steve 1

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Proof that pi is irrational?

My Math teacher told me, if I can find up to date proof that pi is irrational then he would give me an extra 5 points on my average. I really need these points to not fail, but I cant find any up to date proof that pi is irratioal. Can some one help me please?

2007-09-27 17:47:39 · 8 answers · asked by Mike C 1

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