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Algebra
Algebra II

Consider the integral:
$\int_{0}^{1} \frac{\sin (π x)}{1 - x} d x$
I want to do this via power series and obtain an exact solution.
In power series, I have
$\int_{0}^{1} (\sum_{{n = 0}}^{\infty} {(- 1)}^{n} \frac{{(π x)}^{2 n + 1}}{(2 n + 1)!} \cdot \sum_{{n = 0}}^{\infty}) d x$
My question is: how do I multiply these summations together? I have searched online, however, in all cases I found they simply truncated the series and found an approximation.

Jason Watson 2021-11-19

I have a Boolean expression. well

kdgg0909gn 2021-11-19

Can you solve it please

lenlifiauw2 2021-11-19

Solve the equation.
$| x - 3 | = 2$

ffortunyu 2021-11-19

Solve the equation.
$3^{x^{2} - 4} = 27^{x}$

ArcactCatmedeq8 2021-11-19

Solve the equation.
1.5x-0.7=0.4(3-5x)

parthe0o 2021-11-19

Solve the equation.
$x + \sqrt{5 x + 19} = - 1$

wurmiana6d 2021-11-19

Determine, write and graph an inequality that represents the range of elevations shown in the given figure.

hroncits8y 2021-11-19

Solve the rational equation.
$1 + \frac{1}{x} = \frac{90}{x^{2}}$

Edmund Adams 2021-11-19

Solve the equation.
$\frac{3 x + 1}{6 x - 2} = \frac{2 x + 5}{4 x - 13}$

vomiderawo 2021-11-18

Solve the equation.
$20 x^{3} + 8 x^{2} - 35 x - 14 = 0$

sklicatias 2021-11-18

Solve the rational equation.
$\frac{x}{4} - \frac{x}{6} = 5$

Ann Tice 2021-11-18

Solve the equation.
n(3n - 2) = 40

jeseHainsij 2021-11-18

What is the smallest possible depth of a leaf in a decision tree for a comparison sort?

NompsypeFeplk 2021-11-18

$1 + 5 + 9 + \dots + 85$
Write the arithmetic series in summation notation.

Grady Turner 2021-11-18

Solve the equation.
2(x+3)=3(x-3)

Grady Turner 2021-11-18

Solve the equation.
$\log_{2} (x + 7) + \log_{2} x = 3$

Cordazzoyn 2021-11-18

Find the vertex of the graph of the equation.
$y = x^{2} - x - 3$
(x,y)=()

jippie771h 2021-11-18

To find: The sum of the given arithmetic sequence.
The sequence $\sum n = 190 (3 - 2 n)$

miyoko23q3 2021-11-18

$(0.1, 1.45), (0.2, 2.20), (0.4, 3.76)$ and $(0.5, 432)$ datas are given. P(0) is approximated using Neville's Method as an approximation of (0). So compute the sum $Q_{3.7} + Q_{2.2} + P (0)$ . (Use 5 digs rounding arithmetic)
A.4.2569
B.4.4232
C.4.1509
D.4.0534

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