f is nonnegative on the indicated interval, find the area of the region bounded by the graph of f and the x-axis.

f(x)= (5x)/ (2x^2+1)^2 x E[0, 2]

Question

f  is nonnegative on the indicated interval, find the area of the region bounded by the graph of f  and the x-axis.

f(x)= (5x)/ (2x^2+1)^2  x E[0, 2]

anonymous · Answer

guess you have to integrate right?

anonymous · Answer

$$\int_0^2\frac{5x}{(2x^2+1)^2}dx$$

anonymous · Answer

a "u substitution" should work for this integral 
try $u=2x^2+1,du=4xds, \frac{5}{4}du=5xdx$ while you are at it change the limits of integration 
$u(0+1,u(2)=7$

anonymous · Answer

i meant $u(0)=1,u(2)=7$

anonymous · Answer

you get 
$$\frac{5}{4}\int_1^7\frac{du}{u^2}$$ and how you should be good to go

anonymous · Answer

Thanks! I just forgot to change the lim of i. Derp! :)