If , evaluate the exact value of .

Answer and explanation

Correct answer: D.

  1. Step 1: Write .
  2. Step 2: The first part integrates to .
  3. Step 3: The second: . So the result is .
Answer
10.
Why not the others: forgets to subtract the part; the fractions come from integrating the second part with a wrong factor.

Practise more Calculus: Anti-differentiation and Areas Under Curves.

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