Question

Need some help on this problem I am attaching...

Answer 1

i know i should convert the radical signs to exponents

Answer 2

should I be moving the 5x in front of the integrand before evaluating?

Answer 3

multiply it out first

Answer 4

\[\Large = \int\limits_0^1 \sqrt5 x+5x^{(1/2)}dx\]

Answer 5

oh i see.. and then integrate from there?

Answer 6

yes

Answer 7

\[\Large =\left[ {\sqrt5 \over 2}x^2 +5\cdot \frac23 x^{(3/2)}\right]_0^1\]

Answer 8

got it.. i can take it from here. Thank you!