examday

Community mocks

DPiD Maths Mock Set 1 Paper 2 · Q12

Paper 2Calculus

Consider the integral ∫066x−x2 dx\displaystyle\int_0^6\sqrt{6x-x^2}\,dx. The exact value of the integral is aa. The value of the integral approximated using the trapezoidal rule with 33 equal subintervals is bb. Find the value of ∣a−b∣|a-b|.

A9π2−82\frac{9\pi}{2}-8\sqrt2
B9π−129\pi-12
C9π2−62\frac{9\pi}{2}-6\sqrt2
D9π−829\pi-8\sqrt2
E9π2−42\frac{9\pi}{2}-4\sqrt2
F12−9π212-\frac{9\pi}{2}
G9π2−12\frac{9\pi}{2}-12
H9π4−82\frac{9\pi}{4}-8\sqrt2

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.

Sign in to check your answerPractise the whole paper →