Let R represent the region bounded by y = sinx and y = x^4. Find:
(a) the area of R;
(b) the volume of the solid whose base is R, if all cross sections perpendicular to the x-axis are isosceles triangles with height 3;
(c) the volume of the solid formed when R is rotated around the x-axis.

Question

anonymous · Answer

Let's graph two function to see which the intersection

anonymous · Answer

they both intersect the x-axis at x=0 and x=1

anonymous · Answer

$$\int\limits_{?}^{?}\sin(x)dx  - \int\limits_{?}^{?}x^4 dx$$

anonymous · Answer

I am  not sure if they intersect at 1 
sin[1]=not 1
[1]^4=1
I guess we can use small angel theorem
sin[θ]=θ

sin[1]=1
(1)^4=1

anonymous · Answer

oh yeah crap i forgot

anonymous · Answer

wow this solution is ridiculous

anonymous · Answer

Yeah, its like .95 not quite 1. Close enough.