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Alex_Xolod [135]
3 years ago
7

Plz help me 25y−4+7−910y =

Mathematics
2 answers:
STatiana [176]3 years ago
7 0
Yes i agree i also got -885y+3
Elena-2011 [213]3 years ago
3 0

Answer:

-885y+3

Step-by-step explanation:

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Assuming you want the cosine series expansion over an arbitrary symmetric interval [-L,L], L\neq0, the cosine series is given by

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You have

a_0=\displaystyle\frac1L\int_{-L}^Lf(x)\,\mathrm dx
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a_0=\dfrac1L\left(\left(\dfrac{L^2}2-\dfrac{L^3}3\right)-\left(\dfrac{(-L)^2}2-\dfrac{(-L)^3}3\right)\right)
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Two successive rounds of integration by parts (I leave the details to you) gives an antiderivative of

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f_C(x)=-\dfrac{L^2}3+\displaystyle\sum_{n\ge1}\left(-\dfrac{4L\cos nL}{n^2L}+\dfrac{(4-2n^2L^2)\sin nL}{n^3L}\right)\cos nx
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3 years ago
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