OCR C2 2013 June — Question 4

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2013
SessionJune
TopicIndefinite & Definite Integrals
4
  1. Find \(\int \left( 5 x ^ { 3 } - 6 x + 1 \right) \mathrm { d } x\).
    1. Find \(\int 24 x ^ { - 3 } \mathrm {~d} x\).
    2. Given that \(\int _ { a } ^ { \infty } 24 x ^ { - 3 } \mathrm {~d} x = 3\), find the value of the positive constant \(a\).
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