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
1) x=9, because we can use the Pythagorean theorem, x^2 + 144 = 225, x^2 = 81
2) 
, because 6^2 +6^2 = 72, 
3) 
, because 
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The Natives were ready to rebel against the Aztecs because of the abuses they experienced in its political system.
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</span><span>When the Europeans arrived to conquer Aztecs, the Natives did not attack but helped them. They have decided </span><span>to overthrow their government. </span>
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