Given that k k\,k is a positive constant and ∫1k(32x+2)dx=4\displaystyle \int_1^k \left( \frac{3}{2\sqrt{x}} + 2 \right) dx = 4∫1k(2x3+2)dx=4
Show that 2k+3k−9=02k + 3\sqrt{k} - 9 = 02k+3k−9=0
Hence, using algebra, find the value of kkk
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.