Q296 · Practice questionTechnology-freeComplex familiar4 marks
QUESTION 296 (4 marks)
Let .
a)[2 marks]
Write without an integral sign.
b)[2 marks]
Determine .
WORKED SOLUTION
4 marksPractice marking scheme
ANSWER
a) . b) .
Worked solution
a) An antiderivative is . Evaluating at and gives .
b) Apply the chain rule to the expression in part a.
Exact answers unless rounding is specified; equivalent forms accepted.
a) Integrates 1 + sin t.
a) Substitutes both bounds.
b) Differentiates x squared.
b) Applies the chain rule to the cosine term.
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