Standard +0.3 This is a straightforward integration by parts question with standard functions (polynomial × trigonometric) and definite integral evaluation. It requires one application of IBP with u=x, dv=cos(3x)dx, followed by routine integration and substitution of limits. The working is mechanical with no conceptual challenges beyond knowing the IBP formula, making it slightly easier than average.
In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
Find
$$\int_0^{\pi/6} x \cos 3x \, dx$$
giving your answer in simplest form.
[5]
In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
Find
$$\int_0^{\pi/6} x \cos 3x \, dx$$
giving your answer in simplest form.
[5]
\hfill \mbox{\textit{Edexcel P4 2024 Q1 [5]}}