Answer:
sec(4x) + C
Explanation:
original problem: ∫sec(4x)tan(x)dx
use integration by substitution (u-sub) by setting u = 4x
if u = 4x, then du/dx = 4 and du = 4dx (dx = du/4)
after substitution the integral is ∫sec(u)tan(u)(du/4)
move the 1/4 out of the integral by using the integral Constant rule to form 1/4∫sec(u)tan(u)du
the anti-derivative of sec(u)tan(u) is sec(u), memorize your trigonometric derivatives!!!!
after integration, we get sec(u)/4 + C , now plug u back into the equation
sec(4x) + C is the general solution
Answer:
The biggest disadvantage of coal is that it will one day run out with how fast the economy is using it today. It also creates carbon dioxide, which is hard to breath and also clogs up the atmosphere, making it thicker and trapping more heat. a better alternative is wind, solar, and water energy. these are clean, electronic ways to power and save our world
Explanation:
Answer:
A venture capitalist (VC) is a private equity investor that provides capital to companies exhibiting high growth potential in exchange for an equity stake. This could be funding startup ventures or supporting small companies that wish to expand but do not have access to equities markets.
