Given that a a\,a and k k\,k are positive constants and ∫1a(32x+9)dx=k\displaystyle \int_1^a \left( \frac{3}{2\sqrt{x}} + 9 \right) dx = k∫1a(2x3+9)dx=k
Show that 9a+3a−k−12=09a + 3\sqrt{a} - k - 12 = 09a+3a−k−12=0
Hence, using algebra, find a a\,a in terms 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.