Given that and , find the rule for .
Answer and explanation
Correct answer: C.
- Step 1: Integrate: .
- Step 2: , so .
Answer
f(x) = 3/2 sin(2x) + 1/2.
Why not the others: The negative option uses the wrong sign of the antiderivative; the second forgets to divide by 2; the cosine option integrates to the wrong function.
Practise more Calculus: Anti-differentiation and Areas Under Curves.
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