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Question 17

Given that k k\,k is a positive constant and ∫1k(52x+6)dx=10\displaystyle \int_1^k \left( \frac{5}{2\sqrt{x}} + 6 \right) dx = 10∫1k​(2x​5​+6)dx=10

a.

Show that 6k+5k−21=06k + 5\sqrt{k} - 21 = 06k+5k​−21=0

[4]
b.

Hence, using algebra, find the value of kkk

[4]
Markscheme

Integration Questions

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

411 exam-style questions on Edexcel A Level Maths Integration, covering 13.1 Integrating x^n, 13.2 Indefinite Integrals, 13.3 Finding Functions, 13.4 Definite Integrals, 13.5 Areas under Curves, 13.6 Areas under the x-axis, and 13.7 Areas between curves and lines. Each one has a worked solution and a mark scheme showing where the marks go.

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