Use algebraic integration and the substitution u=xu = \sqrt{x}u=x to find the exact value of ∫1963x+xx dx\int_{1}^{9} \frac{6}{3x + x\sqrt{x}} \, dx∫193x+xx6dx Write your answer in the form 4ln(ab)4 \ln \left(\frac{a}{b}\right)4ln(ba), where aaa and bbb are integers to be found. (Solutions relying entirely on calculator technology are not acceptable.)
59 exam-style questions on Edexcel A Level Maths 11.5 Integration by Substitution. Each one has a worked solution and a mark scheme showing where the marks go.