Find the Area enclosed by the curve "y=sqrt(5x+4)", x-axis, y-axis, and the line x=1

Question

amistre64 · Answer

the area is integration, a picture is nice but immaterial at the moment

anonymous · Answer

|dw:1412617723571:dw|

amistre64 · Answer

|dw:1412617653487:dw|

$$A=\int_{a}^{b}f(x)~dx$$

anonymous · Answer

I got as far as $$\int\limits_{0}^{1} \left( \sqrt{5x+4} \right)dx$$

amistre64 · Answer

convert the rt to a power

amistre64 · Answer

and, if you cant see it clearly, try a u substitution

anonymous · Answer

$$\int\limits_{0}^{1}\left( 5x+4 \right)^{\frac{ 1 }{ 2}}dx$$

amistre64 · Answer

if we let 5x+4 = u

what does dx become?

anonymous · Answer

i really have no idea

amistre64 · Answer

take a derivative with respect to x ... ive got real life issues pressing so ill be away for a few hours at best