Edexcel P4 2020 October — Question 7

Exam BoardEdexcel
ModuleP4 (Pure Mathematics 4)
Year2020
SessionOctober
TopicIntegration by Substitution

7. (i) Using a suitable substitution, find, using calculus, the value of $$\int _ { 1 } ^ { 5 } \frac { 3 x } { \sqrt { 2 x - 1 } } \mathrm {~d} x$$ (Solutions relying entirely on calculator technology are not acceptable.)
(ii) Find $$\int \frac { 6 x ^ { 2 } - 16 } { ( x + 1 ) ( 2 x - 3 ) } d x$$