Mark M. answered 06/08/21
Retired math prof. Calc 1, 2 and AP Calculus tutoring experience.
Let u = 4-3x3 Then, du = -9x2dx. So, 9x2dx = -du
So, ∫9x2cos(4-3x3)dx = -∫cosudu = -sinu + C = -sin(4-3x3) + C
Mark M. answered 06/08/21
Retired math prof. Calc 1, 2 and AP Calculus tutoring experience.
Let u = 4-3x3 Then, du = -9x2dx. So, 9x2dx = -du
So, ∫9x2cos(4-3x3)dx = -∫cosudu = -sinu + C = -sin(4-3x3) + C
Dayv O. answered 06/08/21
Caring Super Enthusiastic Knowledgeable Pre-Calculus Tutor
∫9x2cos (4-3x3) dx
isn't this integral of cos(4-z)-dz,,,,z=3x3
which is -sin(4-z)+c
or ∫9x2cos (4-3x3) dx=-sin(4-3x3)+c
check d(-sin(4-3x3)+c)/x=-cos(4-x3)-*9x2=cos(4-x3)*9x2
this is simple fundamental thoerem of calculus not any trigonometirc substitution.
∫9x2cos (4-3x3) dx= -sin(4-3x3)+c
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