Find ∫cos(4x) dx
A-4sin(4x) + C
Bsin(4x)/4 + CCORRECT
C-sin(4x)/4 + C
D4sin(4x) + C
GCEFurther MathematicsIntegration2021
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Why the answer is B, and why the others tempt you.
The integral of cos(ax) is sin(ax)/a + C. Here a = 4, so ∫cos(4x) dx = sin(4x)/4 + C. Option A incorrectly applies the chain rule as if differentiating, and option C has an incorrect negative sign.
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