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
The answer should me d if I’m not mistaken
Many factors including farming method, where food is grown, what pesticides and fertilisers are used, what is fed to our livestock, and so on, affect the environmental impact of the food we buy and eat. ... Water and air pollution, loss of wildlife, and of natural habitats all result from food production.
Answer:
drugs capable of influencing perception, mood, cognition, or behavior
