OCR C2 2011 January — Question 6

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2011
SessionJanuary
TopicIndefinite & Definite Integrals
6
  1. Find \(\int \frac { x ^ { 3 } + 3 x ^ { \frac { 1 } { 2 } } } { x } \mathrm {~d} x\).
    1. Find, in terms of \(a\), the value of \(\int _ { 2 } ^ { a } 6 x ^ { - 4 } \mathrm {~d} x\), where \(a\) is a constant greater than 2 .
    2. Deduce the value of \(\int _ { 2 } ^ { \infty } 6 x ^ { - 4 } \mathrm {~d} x\).
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