OCR MEI C3 2008 June — Question 2 4 marks

Exam BoardOCR MEI
ModuleC3 (Core Mathematics 3)
Year2008
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIntegration by Parts
TypeBasic integration by parts
DifficultyModerate -0.5 This is a straightforward single application of integration by parts with standard functions (polynomial times exponential). It requires only the direct application of the formula with u=x and dv=e^(3x)dx, making it slightly easier than average as it's a textbook example with no complications or multi-step reasoning.
Spec1.08i Integration by parts

2 Find \(\int x \mathrm { e } ^ { 3 x } \mathrm {~d} x\).

2 Find $\int x \mathrm { e } ^ { 3 x } \mathrm {~d} x$.

\hfill \mbox{\textit{OCR MEI C3 2008 Q2 [4]}}