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:
A) determined by the environment
Explanation:
Answer:
The reason why Prometheus was punished was;
D. For stealing a spark from the heavens
Explanation:
Prometheus was punished by Zeus because Zeus vowed to revenge the act of Prometheus's stealing a spark of fire from Hephaestus, the god of fire, and metalworking and a son of Zeus and took it to humans whom Zeus had initially punished by holding back fire from humans so that humans will eat meat raw for being tricked by Prometheus into choosing the portion of the bull with bones while the animal flesh that was not chosen was given to humans.
