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1.7 Integration

1.7 Integration

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Question 13

Given that k k\,k is a positive constant and ∫1k(32x+9)dx=8\displaystyle \int_1^k \left( \frac{3}{2\sqrt{x}} + 9 \right) dx = 8∫1k​(2x​3​+9)dx=8

a.

Show that 9k+3k−20=09k + 3\sqrt{k} - 20 = 09k+3k​−20=0

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b.

Hence, using algebra, find any values of k k\,k such that ∫1k(32x+9)dx=8\displaystyle \int_1^k \left( \frac{3}{2\sqrt{x}} + 9 \right) dx = 8∫1k​(2x​3​+9)dx=8

[4]
Markscheme

1.7 Integration Questions

  1. A Level
  2. /Maths
  3. /1.7 Integration

133 exam-style questions on CCEA A Level Maths 1.7 Integration, covering 1.7.1 Integration, 1.7.2 Integration, and 1.7.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

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