Question

Can someone help me evaluate this integral? I know the final answer...but need help getting to it.
Upper bound: 9, Lower bound:0. Integral is
5* sq rt(x) dx

Answer 1

how far have you gotten?

Answer 2

I have the integration of x done but im confused as to how to simplify it with the 5 and the bounds

Answer 3

2/3x^3/2 + C

Answer 4

I know the final answer should be 90 correct? But I cannot come to that so need help getting there

Answer 5

\[\frac23(9)^{3/2}-\frac23(0)^{3/2}=\frac23\sqrt{9^3}\]

Answer 6

that comes to 18 though?

Answer 7

2/3* 27

Answer 8

yeah it does

Answer 9

oh but you have that 5 out front

Answer 10

oh ok thanks