# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2011 | Oct-Nov | (P2-9709/22) | Q#4

Question Find the exact value of the positive constant k for which  Solution We are given that; Rule for integration of , or ; Therefore; Let ; Therefore; Taking logarithm of both sides; Power Rule; Since ;

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2011 | May-Jun | (P2-9709/23) | Q#4

Question a.   Find the value of b.   Find Solution a.     We are required to find the value of; Rule for integration of  is: b.     We are required to find; Rule for integration of  is: Rule for integration of , or ; Rule for integration of  is:

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2011 | May-Jun | (P2-9709/22) | Q#4

Question a.   Find the value of b.   Find Solution a.     We are required to find the value of; Rule for integration of  is: b.     We are required to find; Rule for integration of  is: Rule for integration of , or ; Rule for integration of  is:

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2011 | May-Jun | (P2-9709/21) | Q#6

Question a.   Find b.   Show that Solution a.     We are required to find; We can expand the integrand as; Rule for integration of  is: Rule for integration of , or ; b.     We are required to show that; We have trigonometric identity; Therefore; Hence; Rule for integration of  is: Rule for […]