OCR H240/02 2019 June — Question 1

Exam BoardOCR
ModuleH240/02 (Pure Mathematics and Statistics)
Year2019
SessionJune
TopicIntegration by Substitution
1
  1. Differentiate the following.
    1. \(\frac { x ^ { 2 } } { 2 x + 1 }\)
    2. \(\tan \left( x ^ { 2 } - 3 x \right)\)
  2. Use the substitution \(u = \sqrt { x } - 1\) to integrate \(\frac { 1 } { \sqrt { x } - 1 }\).
  3. Integrate \(\frac { x - 2 } { 2 x ^ { 2 } - 8 x - 1 }\).
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