We are asked in the problem to evaluate the integral of <span>(cosec^2 x-2005)÷cos^2005 x dx. The function is an example of a complex function with a degree that is greater than one and that uses special rules to integrate the function via the trigonometric functions. For example, we integrate
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=</span><span>∫<span>sec(n−2)</span>xdx+∫tanx<span>sec(n−3)</span>x(secxtanx)dx
Then,
</span><span>∫tanx<span>sec(<span>n−3)</span></span>x(secxtanx)dx=<span><span>tanx<span>sec(<span>n−2)</span></span>x/(</span><span>n−2)</span></span>−<span>1/(<span>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</span></span></span>
Answer:
False! all cross sections of spheres are circles!
Step-by-step explanation:
Answer:
25% of $72 = 18
sale price = $72 -$18 =$54
hope that helped
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Answer:
a. 4x+8
c. 8x+12
d. 6x+6y+6z
b. 6x+8x
Step-by-step explanation:
The distributive property means that the term on the outside of the parentheses can be multiplied by each term on the inside. Take question C for example. You have to multiply 4 by 2x to get 8x, but also multiply 4 by 3 to get 12. These two terms are then connected by the addition as seen within the parentheses, which gives you 8x+12.
