OCR C3 2010 January — Question 1 3 marks

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2010
SessionJanuary
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicStandard Integrals and Reverse Chain Rule
TypeReverse chain rule with linear composite
DifficultyModerate -0.8 This is a straightforward integration by inspection/substitution of a power function. Students need only recognize the chain rule pattern and apply the reverse chain rule formula, requiring minimal steps for 3 marks. Easier than average as it's a direct application of a standard technique with no problem-solving element.
Spec1.08c Integrate e^(kx), 1/x, sin(kx), cos(kx)

Find \(\int \frac{10}{(2x - 7)^2} \, dx\). [3]

Find $\int \frac{10}{(2x - 7)^2} \, dx$. [3]

\hfill \mbox{\textit{OCR C3 2010 Q1 [3]}}