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
A. true during the adolescent stage, most people begin to pull away and become more independent, this is why most teenagers argue with their parents and begin exploring new hobbies.
Positive outcomes of the Columbian Exchange include technological advances in farming, architecture, and weaponry.
Answer:
SOME can be believeable bc these experiments are conducted by scientists who have probably been studying the topic they are working on for years. Another reason is that these scientists use accurate tools to help them solve the exp.
Explanation: