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:
38.2% of the population were mexican americans.
Explanation:
please mark brainliest.
Answer:
Rewarding obedience and righteousness. Typical biblical themes. Often the allusion of Sodom and Gomorrah is used to convey either total destruction or punishment of sinners.
Explanation:
- In the Genesis account, God reveals to Abraham that Sodom and Gomorrah are to be destroyed for their grave sins (18:20). Abraham pleads for the lives of any righteous people living there, especially the lives of his nephew, Lot, and his family.
- In Abrahamic religions, Sodom and Gomorrah have become synonymous with impenitent sin, and their fall with a proverbial manifestation of divine retribution. The Bible mentions that the cities were destroyed for their sins, haughtiness, egoism, and an attempt at u know.
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