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baherus [9]
2 years ago
13

PLEASE HELP ME!!! 100 point!!

Advanced Placement (AP)
1 answer:
mamaluj [8]2 years ago
7 0
I’m pretty sure the answer is B
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Integrate sec(4x)tan(4x)dx
emmainna [20.7K]

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

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3 years ago
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Answer:

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