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:
Explanation:
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Answer: False
The sea floor is also known as the seabed or the ocean floor. It is made of mafic rocks (crystallized matter from silicate magma) deposits and minerals including basalt, gabbro, olivine, serpentine, peridotite, and ore minerals from VMS (Volcanic Massive Sulfide). Rocks do not have a smooth surface, therefore, the seabed is not smooth and level.