# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | Oct-Nov | (P2-9709/22) | Q#6

Question a.   Find b.   Show that Solution a.     We are required to find; Rule for integration of , or ; b.     We are required to show that; Rule for integration of  is: This integral is valid only when . Division Rule; Power Rule;

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | Oct-Nov | (P2-9709/23) | Q#6

Question      i.       Use the trapezium rule with 2 intervals to estimate the value of Giving your answer correct to 2 decimal places.    ii.       Find Solution      i.   We are required to apply Trapezium Rule to evaluate; The trapezium rule with  intervals states that; We are given that there are two […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | Oct-Nov | (P2-9709/21) | Q#6

Question      i.       Use the trapezium rule with 2 intervals to estimate the value of Giving your answer correct to 2 decimal places.    ii.       Find Solution      i.   We are required to apply Trapezium Rule to evaluate; The trapezium rule with  intervals states that; We are given that there are two […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | May-Jun | (P2-9709/23) | Q#5

Question The diagram shows the curve  and its minimum point M.      i.       Show that the x-coordinate of M can be written in the form , where the value of a is to be  stated.    ii.       Find the exact value of the area of the region enclosed by the curve and the […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2012 | May-Jun | (P2-9709/21) | Q#5

Question The diagram shows the curve  and its minimum point M.      i.       Show that the x-coordinate of M can be written in the form , where the value of a is to be  stated.    ii.       Find the exact value of the area of the region enclosed by the curve and the […]