(a)[5]
Demonstrate that $\int_2^4 4x \ln x \, dx = 56 \ln 2 - 12$.
(b)[5]
Employ the substitution $u = \sin 4x$ to evaluate the exact value of $\int_0^{\pi/4} \cos^3 4x \, dx$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use integration by parts to arrive at $ax^2\ln x+b\int x^2dx$” …
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