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smithsa10630
02.09.2019 •
Mathematics
Integration of (cosec^2 x-2005)÷cos^2005 x dx is
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Ответ:
2005/cos^2005x dx which is equal to 2005 sec^2005 x since sec is the inverse of cos. The integral of this function when n >3 is equal to I=∫sec(n−2)xdx+∫tanxsec(n−3)x(secxtanx)dx
Then,
∫tanxsec(n−3)x(secxtanx)dx=tanxsec(n−2)x/(n−2)−1/(n−2)I
we can then integrate the function by substituting n by 3.
On the first term csc^2 2005x / cos^2005 x we can use the trigonometric identity csc^2 x = 1 + cot^2 x to simplify the terms
Ответ:
Step-by-step explanation:
Discount = 450 - 292.50 = $157.50
Percentage of discount = (157.50/450)*100 = 35%