It is given that k k\,k is a positive constant and that
∫1k(32x+9)dx=8\displaystyle\int_1^k\left(\dfrac{3}{2\sqrt{x}} + 9\right)dx = 8∫1k(2x3+9)dx=8
a.
Show that 9k+3k−20=09k + 3\sqrt{k} - 20 = 09k+3k−20=0.
[4]
b.
Hence, using algebra, find the value of kkk.
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Markscheme
1.8 Integration Questions
160 exam-style questions on WJEC A Level Maths 1.8 Integration, covering 1.8.1 Integration, 1.8.2 Integration, and 1.8.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.