Question

what the answer to this question: http://www.webassign.net/cgi-bin/symimage.cgi?expr=int_0%5E9%204%20sqrt%2817%20t%29%20dt

Answer 1

i need help on this

Answer 2

\[4\sqrt{17}\int_0^9\sqrt{t}dt\] should be straightforward. take the antiderivative. plug in 9 and 0 and subtract

Answer 3

so 4 sqrt17 (9)?

Answer 4

\[\int\sqrt{t}dt=\int t^{\frac{1}{2}}dt=\frac{2}{3}t^{\frac{3}{2}}\]

Answer 5

\[4\sqrt{17}\int_0^9 \sqrt{t}dt =4\sqrt{17} \times \frac{2}{3} t^{\frac{3}{2}}|_0^9\]

Answer 6

\[=\frac{8\sqrt{17}}{3}\sqrt{9^3}-0=\frac{8\sqrt{17}\times3^3}{3}=72\sqrt{17}\]

Answer 7

but my arithmetic could be wrong

Answer 8

thanks