# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/23) | Q#6

Question A.  Find i.        ii.          B.  Use the trapezium rule with 2 intervals to estimate the value of giving your answer correct to 2 decimal places. Solution A.    i.   We are required to find; Rule for integration of  is: Rule for integration of  is: Rule for integration of […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/22) | Q#6

Question A.         Find B.   i.       Use the trapezium rule with 2 intervals to estimate the value of giving your answer correct to 3 decimal places. ii.       Using a sketch of the graph of  for , explain whether the trapezium rule  gives an under-estimate or an over-estimate of the true value of the integral […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | Oct-Nov | (P2-9709/21) | Q#6

Question A.  Find i.        ii.        B.  Use the trapezium rule with 2 intervals to estimate the value of giving your answer correct to 2 decimal places. Solution A.    i.   We are required to find; Rule for integration of  is: Rule for integration of  is: Rule for integration of , […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | May-Jun | (P2-9709/23) | Q#3

Question i.       Show that  .  ii.       Hence show that Solution      i.   We are given that; From this we can write; From this we can write; It can be formulated as; Hence;    ii.   We are required to show that; We have found in (i) that; Therefore; Rule for integration of  is: […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2013 | May-Jun | (P2-9709/21) | Q#3

Question i.       Show that  . ii.       Hence show that Solution      i.   We are given that; From this we can write; From this we can write; It can be formulated as; Hence;      ii.   We are required to show that; We have found in (i) that; Therefore; Rule for integration of  is: […]