QCEVault

Further integration — Question 290

Original QCE Vault practice · 5 marks

Q290 · Practice questionTechnology-freeComplex familiar5 marks

QUESTION 290 (5 marks)

The graph of y=x2−1y=x^2-1 is shown for −2≤x≤2-2\leq x\leq2.
Graph of y=x squared-1 on [-2,2]; every region between the curve and the horizontal axis is hatched.
a)
Evaluate ∫−22(x2−1) dx\displaystyle\int_{-2}^2(x^2-1)\,dx.
[2 marks]
b)
Determine the total area enclosed between this graph and the xx-axis on the stated interval.
[3 marks]
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