examday

Official papers

Official 2021 Paper 1 · Q2

Paper 1Calculus

The curve y=x3−6x+3y=x^3-6x+3 has turning points at x=αx=\alpha and x=βx=\beta, where β>α\beta>\alpha.

Find

∫αβx3−6x+3 dx\int_\alpha^\beta x^3-6x+3\,\dd x
A−82-8\sqrt2
B−10-10
C−10+62-10+6\sqrt2
D00
E12−8212-8\sqrt2
F626\sqrt2
G1212

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 →