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
Indian-Australian Plate and the Antarctic <span>Plate</span>
Answer:
D.
Hawthorne uses figurative language expertly throughout the story, “Beatrice darted forward, uttering a shriek that went through his heart like a dagger” (407).
Explanation:
The Modern Language Association (MLA) format for parenthetical citation holds that in-text citations must bear the page number as well as the direct quote from the author. These details are to be contained within the sentence before the final full stop at the end of the sentence. The last options meets this criteria, for it,
1. Has an introduction stating what the author did that is to be quoted.
2. Contains a direct quotation.
3. Has the page number inserted within the sentence.
Answer:
I'm sorry to hear that. Keep doing what you love <3 , and I wish you a goodluck in life.
Explanation: